Middle School Course 1

Khan Academy Video Correlations

By SpringBoard Activity

 

SB Activity

Khan Academy Video(s)

Unit 1:  Number Concepts

Activity 1

Whole Numbers and Decimals

1-1   Learning Targets:

·           Locate whole numbers and decimals on a number line.

·           Interpret statements of inequality of whole numbers and positive decimals.

·           Order a set of positive whole numbers and decimals.

1-2   Learning Targets:

·           Add and subtract multidigit decimals.

·           Solve real-world problems by adding and subtracting decimals.

1-3   Learning Targets:

·           Multiply multidigit decimals.

·           Estimate products of decimals.

·           Solve real-world problems by multiplying decimal numbers.

1-4   Learning Targets:

·           Divide whole numbers by whole numbers.

·           Estimate quotients of whole numbers.

·           Solve real-world problems by dividing whole numbers.

1-5   Learning Targets:

·           Divide decimals by whole numbers.

·           Divide whole numbers and decimals by decimals.

·           Estimate quotients.

·           Solve real-world problems by dividing decimals.

 

 

Comparing and Ordering Whole Numbers and Decimals

Decimals: Comparing place values

Comparing decimals: place value difference

Comparing decimals: difference in largest place value

Comparing decimals: ordering from least to greatest

Comparing decimals: ordering from smallest to biggest

Adding and Subtracting Decimals

Adding decimals: example 1

Adding decimals: example 2

Adding decimals: example 3

Adding decimals word problem

Subtracting decimals example 1

Subtracting decimals example 2

Adding and subtracting decimals word problem

Multiplying Decimals

Multiplying decimals example

Multiplying challenging decimals

Multiplying decimals word problem

Dividing Whole Numbers

Dividing by two digits example 2

Dividing completely to get decimal answer

Dividing Decimals

Dividing by a multi-digit decimal

Dividing decimals with hundredths

Dividing decimals with hundredths example 3

Activity 2

Prime Factorization and Exponents

2-1   Learning Targets:

·           Determine whether a given whole number is a prime number or a composite number.

·           Express a composite number as a product of prime numbers.

2-2   Learning Targets:

·           Evaluate a whole number or decimal raised to a whole number exponent.

·           Express prime factorization using exponents when a prime factor occurs more than once.

 

Prime Factorization

Prime factorization

Prime factorization exercise

Recognizing prime and composite numbers

Prime numbers

Exponents

Introduction to exponents

 

Activity 3

Greatest Common Factor and Least Common Multiple

3-1 Learning Targets:

·           Find all the factors of a whole number.

·           Find the greatest common factor of two whole numbers.

3-2 Learning Targets

·           Find multiples of a whole number.

·           Find the least common multiple of two or more whole numbers.

 

 

Greatest Common Factor

Greatest common factor explained

Greatest common factor exercise

LCM and GCF word problems

Least Common Multiple

Least common multiple exercise

Least common multiple exercise 2

Least common multiple exercise: 3 numbers

LCM and GCF word problems

Activity 4

Fractions and Mixed Numbers

4-1 Learning Targets:

·           Given a proper fraction, find equivalent fractions.

·           Expression proper fractions in simplest form.

·           Locate proper fractions on a number line.

4-2 Learning Targets:

·           Interpret statements of inequality of proper fractions in terms of a number line and in terms of real-world contexts.

·           Compare proper fractions.

·           Order a set of proper fractions.

4-3 Learning Targets:

·           Locate mixed numbers on a number line.

·           Convert an improper fraction to a whole number or mixed number.

·           Converting a whole number or mixed number to an improper fraction.

4-4 Learning Targets:

·           Interpret statements of inequality of mixed numbers in terms of a number line and in terms of real-world contexts.

·           Compare mixed numbers.

·           Order a set of mixed numbers or fractions.

 

Meaning of Fractions

Fractions in lowest terms

Visualizing equivalent fractions

Equivalent fraction word problem example

Equivalent fraction word problem example 2

Equivalent fraction word problem example 3

Plotting basic fractions on the number line

Comparing and Ordering Fractions

Comparing fractions

Comparing and ordering fractions

Comparing fractions with greater than and less than symbols

Comparing fractions with like numerators and denominators

Comparing fractions with different denominators

Mixed Numbers

Mixed numbers and improper fractions

Proper and improper fractions

Converting mixed numbers to improper fractions

Mixed numbers: changing to improper fractions

Mixed numbers: changing from an improper fraction

Comparing and Ordering Mixed Numbers

Comparing improper fractions and mixed numbers

Mixed number or improper fraction on a number line

Activity 5

Multiplying Fractions and Mixed Numbers

5-1 Learning Targets:

·           Multiply a whole number by a fraction less than 1.

·           Multiply two fractions less than 1.

·           Estimate the product of a fraction and a whole number.

5-2 Learning Targets:

·           Multiply mixed numbers by fractions, whole numbers, and other mixed numbers.

·           Estimate products involving mixed numbers.

Multiplying Fractions

Multiplying fractions and whole numbers

Multiplying two fractions: an explanation

Multiplying two fractions: example

Multiplying mixed numbers

Multiplying Fractions:  Word Problems

Multiplying fractions word problem: movie marathon

Multiplying fractions word problem: milk love

Multiplying fractions word problem: pigging out on pumpkin pie

Multiplying fractions word problem: banana oat muffin recipe

Multiplying fractions word problem: laundry emergency

Multiplying fractions word problem: bike to a friend

Activity 6

Dividing Fractions and Mixed Numbers

6-1 Learning Targets:

·           Divide a whole number by a fraction less than 1.

·           Divide a fraction by a whole number or fraction.

·           Solve real-world problems by dividing such numbers.

6-2 Learning Targets:

·           Divide a mixed number, whole number, or fraction by a mixed number.

·           Estimate such quotients.

·           Solve real-world problems by dividing such numbers.

 

Dividing Fractions

Dividing whole numbers and fractions: potpourri

Dividing whole numbers and fractions: studying

Dividing whole numbers and fractions: t-shirts

Understanding division of fractions

Dividing fractions example

Dividing fractions example 2

Reciprocal of a mixed number

Unit 2:  Integers

Activity 7

Introduction to Integers

7-1 Learning Targets:

·           Use integers to represent quantities in real-world contexts.

·           Position and identify integers on a number line.

·           Find the opposite of an integer.

·           Find the absolute value of an integer.

·           Classify whole numbers, integers, and positive rational numbers.

7-2 Learning Targets:

·           Compare and order integers.

·           Interpret statements of inequality of integers in terms of a number line and of real-world contexts.

·           Distinguish comparisons of absolute value from statements about the order of integers.

Negative Numbers

Negative numbers introduction

Negative numbers and number line examples

Opposite of a number

Negative symbol as opposite

Number opposites practice

Ordering negative numbers

Absolute Value

Absolute value of integers

Comparing absolute values

Activity 8

Adding and Subtracting Integers

8-1 Learning Targets:

·           Using models, create several representations of a given integer.

·           Using models, add any two integrated with absolute value less than 10.

8-2 Learning Targets:

·           Add two or more integers.

·           Solve real-world problems by adding integers.

8-3 Learning Targets:

·           Use models to subtract one integer with absolute value less than 10 from another.

·           Subtract integers.

·           Solve real-world problems by subtracting integers.

Adding and Subtracting Integers

Learn how to add and subtract negative numbers

Adding/subtracting negative numbers

Adding negative numbers

Adding numbers with different signs

Subtracting a negative = adding a positive

Negative number word problem

 

Activity 9

The Coordinate Plane

9-1 Learning Targets:

·           Graph and identify ordered pairs of rational numbers.

·           Understand and use terms such as origin, quadrant, x-axis, first coordinate, and second coordinate associated with graphing on the coordinate plane.

9-2 Learning Targets:

·           Find the distance between points in the coordinate plane with the same first coordinate or the same second coordinate.

·           Solve real-world and mathematical problems by graphing points in the coordinate plane and finding the distances between them.

·           Find the reflection of a point over one or both axes.

Integers in The Coordinate Plane

The coordinate plane

Coordinate plane: plot ordered pairs

Coordinate plane: have all the points been graphed?

Coordinate plane: quadrants

Coordinate plane: graphing points and naming quadrants

Coordinate plane: word problem exercise

Reflecting Points on the Coordinate Plane

Coordinate plane: reflecting points

Activity 10

Multiplying and Dividing Integers

10-1 Learning Targets:

·           Multiply integers.

·           Solve real-world problems by multiplying integers.

10-2 Learning Targets:

·           Divide integers.

·           Solve real-world problems by dividing integers.

Understanding Multiplication of Negative Numbers

Why a negative times a negative is a positive

Why a negative times a negative makes intuitive sense

Multiplying Integers

Multiplying positive and negative numbers

Dividing positive and negative numbers

Multiplying numbers with different signs

 

Unit 3:  Expressions and Equations

Activity 11

Expressions

11-1 Learning Targets:

·           Use the order of operations to simplify expressions involving addition, subtraction, multiplication, and division.

·           Use the order of operations to simplify expressions involving whole number exponents and parentheses.

11-2 Learning Targets:

·           Use variables to represent numbers and write expressions to solve problems.

·           Evaluate expressions containing variables.

11-3 Learning Targets:

·           Use variables to represent quantities.

·           Write expressions to represent quantities.

11-4 Learning Targets:

·           Apply the properties of operations to generate equivalent expressions.

·           Identify when two expressions are equivalent.

Order of Operations

Introduction to order of operations

Order of operations example

Order of operations example: putting it all together

Order of operations: PEMDAS

 

Evaluating Algebraic Expressions

What is a variable?

Expression terms, factors and coefficients

Evaluating an expression example

Evaluating an expression using substitution

Evaluating an expression with exponents

Writing Expressions

Writing simple algebraic expressions

Writing algebraic expressions

Writing algebraic expressions example 2

Properties of Operations

Commutative property for addition

Commutative law of addition

Commutative law of multiplication

Associative law of addition

Associative law of multiplication

Properties of numbers 1

Number properties terminology 1

Identity property of 1

Identity property of 1 (second example)

Identity property of 0

Inverse property of addition

Inverse property of multiplication

Properties of numbers 2       

Activity 12

Equations

12-1 Learning Targets:

·           Write one-variable, one-step equations to represent situations.

·           Distinguish between expressions and equations.

12-2 Learning Targets:

·           Understand what it means to solve an equation.

·           Use substitution to determine which values from a specified set make an equation true.

Equation Basics

Variables, expressions, and equations

Representing a relationship with a simple equation

Testing solutions to equation

Activity 13

Solving Addition and Subtraction Equations

13-1 Learning Targets:

·           Write a one-step addition equation to model a situation.

·           Solve an addition equation of the form x + a = b, where a, b, and x are all nonnegative integers.

13-2 Learning Targets:

·           Write addition equations to represent situations.

·           Solve one-step addition equations of the form x + a = b, where a, b, and x are all nonnegative rational numbers.

·           Given an equation of the form x + a = b, where a, b, and x are all nonnegative rational numbers, write a corresponding real-world problem.

13-3 Learning Targets:

·           Write a subtraction equation to represent a situation.

·           Solve a subtraction equation of the form x – a = b, where a, b, and x are all nonnegative rational numbers.

13-4 Learning Targets:

·           Write subtraction equations to represent situations.

·           Solve subtraction equations by adding the same number to both sides of the equation.

·           Given an equation of the form x – a = b, where a, b, and x are all nonnegative rational numbers, write a corresponding real-world problem.

Solving Equations with Addition and Subtraction

Simple equations of the form x + a = b

Adding and subtracting from both sides of an equation

Activity 14

Solving Multiplication and Division Equations

14-1 Learning Targets:

·           Write a one-step multiplication equation to model a situation.

·           Solve a multiplication equation of the form ax=b, where a, b, and x are all positive integers.

14-2 Learning Targets:

·           Write multiplication equations to represent situations.

·           Solve a multiplication equation of the form ax=b, where a, b, and x are all positive rational numbers.

·           Given an equation of the form ax=b, where a, b, and x are all positive rational numbers, write a corresponding real-world problem.

14-3 Learning Targets:

·           Write a division equation to represent a situation.

·           Solve a division equation by multiplying both sides of the equation by the same number.

Solving Equations with Multiplication and Division

Simple equations of the form ax = b

Simple equations of the form x/a = b

Dividing from both sides of an equation

Activity 15

Expressions and Equations

15-1 Learning Targets:

·           Write inequalities to represent constraints or conditions within problems.

·           Use substitution to determine whether a given number makes an inequality true.

·           Graph solution sets of inequalities.

·           Given an inequality, write a corresponding real-world problem.

15-2 Learning Targets:

·           Write one-step inequalities to represent constraints or conditions within problems.

·           Use substitution to determine whether a given number makes an inequality true.

·           Solve one-step inequalities.

·           Graph the solution sets of one-step inequalities.

Representing Situations with Inequalities

Inequalities: plotting on a number line

A simple inequality: plotting on a number line

Testing solutions to inequalities

Inequality word problems

Inequality word problem: one variable

Constructing and solving a one-step inequality

 

Solving One-Step Inequalities

One-step inequality involving addition

Inequalities using addition and subtraction

Multiplying and dividing with inequalities

Multiplying and dividing with inequalities example

 

Activity 16

Expressions and Equations

16-1 Learning Targets:

·           Create a table representing a relationship given a verbal description.

·           Write an equation to represent a relationship given a verbal description or table.

·           Investigate rate of change.

·           Graph equations of the form y=ax.

16-2 Learning Targets:

·           Graph equations of the form y = kx or y = x + b.

·           Create a table and graph a relationship given a verbal description.

·           Explain how one variable depends on another variable.

·           Describe a relationship given a graph.

Tables of Values and Graphing

Dependent and independent variables exercise: the basics

Dependent and independent variables exercise: graphing the equation

Dependent and independent variables exercise: express the graph as an equation

Unit 4:  Ratios

Activity 17

Understanding Ratios

17-1 Learning Targets:

·           Understand the concept of a ratio and use ratio language.

·           Represent ratios with concrete models, fractions, and decimals.

·           Give examples of ratios as multiplicative comparisons of two quantities describing the same attribute.

17-2 Learning Targets:

·           Make tables of equivalent ratios relating quantities.

·           Use tables to compare ratios.

·           Plot the pairs of values on the coordinate plane and describe the relationship.

Understanding Ratio

Introduction to ratios

Ratios as fractions

Ratios in Proportional Relationships \: Solving Ratio Problems

Ratio word problem: boys to girls

Ratio word problem: centimeters to kilometers

Solving ratio problems with tables example 1

Solving ratio problems with tables example 2

Solving ratio problems with graph

Activity 18

Reasoning with Ratios

18-1 Learning Targets:

·           Use ratio and rate reasoning to solve problems.

·           Use ratio reasoning to convert measurement units.

·           Apply quantitative reasoning, including predicting and comparing to solve real-world problems involving ratios and rates.

18-2 Learning Targets:

·           Use ratio and rate reasoning to solve problems by reasoning about double number line diagrams and equations.

·           Use ratio reasoning to convert measurement units.

·           Represent mathematical and real-world problems involving ratios and rates using scale factors and proportions.

Unit Conversions

Converting pounds to ounces

Converting yards to inches

 

Unit Conversions:  Real-World Examples

Unit conversion word problem: roadtrip

Unit conversion word problem: drug dosage

Unit conversion word problem: yards to inches

Activity 19

Rates and Unit Rates

19-1 Learning Targets:

·           Understand the concept of a unit rate  associated with the ratio a: b with b ≠ 0.

·           Use rate language in the context of a ratio relationship.

·           Give examples of rates at the comparison by division of two quantities having different attributes.

19-2 Learning Targets:

·           Solve unit rate problems.

·           Convert units within a measurement system, including the use of proportions and unit rates.

19-3 Learning Targets:

·           Use ratio and rate reasoning to solve problems.

·           Represent mathematical and real-world problems involving ratios and rates using scale factors and proportions.

Unit Rates

Solving unit rates problem

Solving unit price problem

Activity 20

Using Models to Understand Percents

20-1 Learning Targets:

·           Find a percent of a quantity as a rate per 100.

·           Represent ratios and percents with concrete models and decimals.

·           Represent benchmark fractions and percents.

·           Generate equivalent forms of decimals and percents.

20-2 Learning Targets:

·           Represent ratios and percents with fractions and decimals.

·           Represent benchmark percents such as 1%, 10%, 25%, 33 %, and multiples of these values using number lines and numbers.

·           Use percents, fractions, and decimals to show parts of the same whole.

20-3 Learning Targets:

·           Find a percent of a quantity as a rate per 100.

·           Generate equivalent forms of fractions, decimals, and percents using real-world problems.

·           Represent percents with concrete models, fractions, and decimals.

Understanding Percent

The meaning of percent

The meaning of percent over 100

Percentage of a whole number

Percent, Fractions, and Decimals

Converting percent to decimal and fraction

Converting decimals to percents

Converting decimals to percents example 2

Converting percents to decimals

Converting percents to decimals example 2

Finding Percents

Finding a percentage

 

Activity 21

Applying Percents

21-1 Learning Targets:

·           Solve real-world problems to find the percent, given the part and the whole.

·           Use ratio and rate reasoning to solve real-world and mathematical problems .

21-2 Learning Targets:

·           Solve real-world problems to find the part, given the whole and the percent.

·           Use ratio and rate reasoning to solve real-world and mathematical problems.

21-3 Learning Targets:

·           Solve problems to find the whole given a part and the percent.

·           Represent ratios and percents with fractions and decimals.

·           Represent benchmark percents such as 1%, 10%, 25%, and 33%, and multiples of these values using number lines and numbers.

·           Use equivalent percents, fractions, and decimals to show parts of the same whole.

Percents:  Real-World Problems

Percent word problem example 1

Percent word problem example 2

Percent word problem example 3

Percent word problem example 4

Percent word problem example 5

Unit 5:  Geometric Concepts

Activity 22

Angles and Triangles

22-1 Learning Targets:

·           Determine when three side lengths form a triangle.

·           Use the Triangle Inequality Property.

·           Classify triangles by side length.

22-2 Learning Targets

·           Classify angles by their measures.

·           Classify triangles by their angles.

·           Recognize the relationship between the lengths of sides and measures of angles in a triangle.

·           Recognize the sum of angles in a triangle.

Properties of Triangles and Side Length

Triangles: categorization by angle or equal sides.

 

Properties of Triangles and Angle Measure

Triangles: using angles to categorize

 

Triangle Inequality Theorem

Triangle inequality theorem

 

Activity 23

Area and Perimeter of Polygons

23-1 Learning Targets:

·           Define and classify quadrilaterals based on their properties.

·           Use properties of quadrilaterals to determine missing side lengths and angle measures.

23-2 Learning Targets:

·           Model the area of a parallelogram by decomposing into triangles.

·           Find the area of special quadrilateral by decomposing into triangles.

·           Write equations that represent problems related to the area of parallelograms and rectangles.

·           Solve problems involving the area of parallelograms and rectangles.

·           Find the area of special quadrilaterals and polygons by composing into rectangles or decomposing into triangles and other shapes.

23-3 Learning Targets

·           Model area formulas for parallelograms, trapezoids, and triangles.

·           Write equations that represent problems related to the area of trapezoids and triangles.

·           Find the area of triangles, special quadrilaterals, and polygons.

·           Model area formulas by decomposing and rearranging parts.

R Quadrilaterals

Quadrilateral overview

Quadrilateral properties

Quadrilaterals: find the type exercise

Quadrilaterals: classifying shapes

 

Quadrilaterals:  Perimeter and Area

Perimeter and area: the basics

Area of a parallelogram

Area of a trapezoid

Finding area by rearranging parts

Finding area by breaking up the shape

Area of strange quadrilateral

Perimeter of a parallelogram

Perimeter and area of a non-standard polygon

 

 

Activity 24

Polygons on the Coordinate Plane

24-1 Learning Targets:

·           Draw polygons in the coordinate plane given vertex coordinates.

·           Find the length of a segment joining points with the same first coordinate or the same second coordinate.

·           Use coordinate geometry to identify locations on a plane.

·           Graph points in all four quadrants.

·           Solve problems involving the area on the coordinate plane.

24-2 Learning Targets:

·           Use coordinate geometry to identify locations on a plane.

·           Graph points in all four quadrants.

·           Solve problems involving the area of parallelograms, trapezoids, and triangles.

Quadrilaterals on the Coordinate Plane

Parallelogram on the coordinate plane

Quadrilateral on the coordinate plane

Activity 25

Nets and Surface Area

25-1 Learning Targets:

·           Represent three-dimensional figures using nets.

·           Use nets to find the surface area of figures.

·           Write equations that represent problems related to the area of rectangles.

·           Determine solutions for problems involving the area of rectangles.

25-2 Learning Targets:

·           Represent three-dimensional figures using nets.

·           Use nets to find the surface area of figures.

·           Write equations that represent area problems.

·           Solve problems involving the area of rectangles and triangles.

Nets and Surface Area

Nets of polyhedra

Finding surface area: nets of polyhedra

Activity 26

Volume

26-1 Learning Targets:

·           Find the volume of a right rectangular prism with fractional edge lengths.

·           Write equations that represent problems related to the volume of right rectangular prisms.

26-2 Learning Targets:

·           Write equations that represent problems related to the volume of right rectangular prisms.

·           Apply the formulas V = lwh and V = bh to find the volumes of right rectangular prisms.

 

Finding Volume

Volume: how measure it

Volume: measuring with unit cubes

Volume: measuring as area times length

Volume of a rectangular prism

Volume of a rectangular prism: fractional cubes

Volume word problem

 

 

Unit 6:  Data Analysis

Activity 27

Summarizing Data Graphically

27-1 Learning Targets:

·           Identify statistical questions.

·           Interpret the variability of data collected from a survey.

27-2 Learning Targets:

·           Identify types of statistical variables.

·           Write statistical questions.

·           Construct graphs to represent statistical data.

27-3 Learning Targets:

·           Organize data from a statistical question.

·           Determine appropriate graphical representation of data.

·           Describe distributions from graphical representation.

Statistical Questions

Statistical and non statistical questions

Bar Charts

Creating a bar chart

Reading bar charts: comparing two sets of data

Reading bar graphs

 

Activity 28

Measures of Center

28-1 Learning Targets:

·           Calculate the mean of a data set.

·           Identify outliers of a data set.

·           Construct dot plots.

28-2 Learning Targets:

·           Find the median.

·           Determine relative position of the mean and median in a distribution.

28-3 Learning Targets:

·           Construct dot plots.

·           Identify whether the mean or the median should be used to summarize the center of a distribution based upon the shape of the distribution.

Mean, Median, Mode

Statistics intro: Mean, median and mode

Finding mean, median and mode

Exploring the mean and median

 

 

Activity 30

Summarizing Numerical Data Graphically

30-1 Learning Targets:

·           Determine the five-number summary for numerical data.

·           Construct a box plot to represent numerical data.

·           Describe numerical data sets using comparative language.

30-2 Learning Targets:

·           Summarize data using frequency tables.

·           Construct histograms to represent numerical data.

30-3 Learning Targets:

·           Create class intervals.

·           Construct histograms using class intervals.

Box and Whiskers

Box and whisker plot

Constructing a box and whisker plot

Histograms

Histograms