2014c Course 2

Khan Academy Video Correlations

By SpringBoard Activity

 

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Video(s)

Unit 1:  Number Systems

Activity 1

Operations on Positive Rational Numbers

1-1 Learning Targets:

·           Solve problems with decimals, using addition and subtraction.

·           Justify solutions with decimals, using addition and subtraction.

·           Estimate decimal sums and differences.

1-2 Learning Targets:

  • Estimate decimal products and quotients.
  • Solve problems involving multiplication and division of decimals.

1-3 Learning Targets:

  • Solve problems with fractions using addition, subtraction, multiplication, and division.
  • Estimate with fractions.

1-4 Learning Targets:

  • Convert a fraction to a decimal.
  • Understand the difference between terminating and repeating decimals.

Multiplying and Dividing Decimals

Multiplying decimals example

Multiplying challenging decimals

Dividing by a multi-digit decimal

Dividing a whole number by a decimal

Dividing a decimal by a whole number

Fractions

Adding, subtracting fractions

Multiplying negative and positive fractions

Dividing negative fractions

Numbers in Different Forms

Adding, subtracting numbers in different formats

Adding, subtracting fractions, decimals, percentages

Fraction to decimal

Converting fractions to decimals

Activity 2

Addition and Subtraction of Integers

2-1 Learning Targets:

·           Add two or more integers.

·           Identify and combine opposites.

·           Solve real-world problems by adding integers.

2-2 Learning Targets:

·           Subtract integers.

·           Find distances using absolute value

Adding and Subtracting Integers

Learn how to add and subtract negative numbers

Adding negative numbers

Adding numbers with different signs

Subtracting a negative = adding a positive

Inverse property of addition

Absolute Value

Absolute value and number lines

Absolute value of integers

Absolute value word problems

Constructing and interpreting absolute value

Activity 3

Multiplication and Division of Integers

3-1 Learning Targets:

·           Multiply two or more integers.

·           Apply properties of operations to multiply integers.

·           Solve real-world problems by multiplying, adding, and subtracting integers.

3-2 Learning Targets:

·           Divide integers.

·           Solve real-world problems by dividing integers and possibly adding, subtracting, or multiplying integers as well.

Understanding Multiplication with 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

Multiplying numbers with different signs

Dividing Integers

Dividing positive and negative numbers

 

Activity 4

Operations on Rational Numbers

4-1 Learning Targets:

·           Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.

·           Describe relationships between sets of rational numbers.

4-2 Learning Targets:

·           Add two or more rational numbers.

·           Use properties of addition to add rational numbers.

·           Solve real-world problems by adding two or more rational numbers.

4-3 Learning Targets:

·           Subtract rational numbers.

·       Apply the fact that for all rational numbers a and b, a − b = a + (−b), to add and subtract rational numbers.

·       Solve real-world problems by subtracting rational numbers and possibly by adding rational numbers as well.

4-4 Learning Targets:

·           Multiply and divide rational numbers.

·       Apply properties of operations to multiply and divide rational numbers.

·       Solve real-world problems involving the four operations with rational numbers.

Sets of Numbers

Number sets

Adding and Subtracting Rational Numbers

Adding, subtracting fractions

 

Multiplying and Dividing Rational Numbers

Multiplying negative and positive fractions

Dividing negative fractions

 

Unit 2:  Expressions and Equations

Activity 5

Properties of Operations

5-1 Learning Targets:

·           Identify properties of operations.

·           Apply properties of operations to simplify linear expressions.

5-2 Learning Targets:

·           Apply properties to factor and expand linear expressions.

·           Rewrite expressions to see how the problem and quantities are related.

Arithmetic Properties

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 6

Writing and Solving Equations

6-1 Learning Targets:

·           Use variables to represent quantities in real-world problems.

·           Model and write two-step equations to represent real-world problems.

6-2 Learning Targets:

·           Solve two-step equations.

·           Solve real-world problems by writing an equation of the form px+ q =r.

Understanding Terminology

What is a variable?

Expression terms, factors and coefficients

Solving Two-Step Equations

Why we do the same thing to both sides: Simple equations

Solving two-step equations

Solving a more complicated equation

Activity 7

Solving and Graphing Inequalities

7-1 Learning Targets:

·           Represent quantities in a real-world problem.

·           Construct two-step inequalities to solve problems.

7-2 Learning Targets:

·           Solve two-step inequalities.

·           Construct two-step inequalities to solve problems.

Solving Two-Step Inequalities

Solving a two-step inequality

Constructing and solving a two-step inequality

Constructing, solving two-step inequality example

Unit 3:  Ratio and Proportion

Activity 8

Ratio and Unit Rates

8-1 Learning Targets:

·           Express relationships using ratios.

·           Find unit rates.

8-2 Learning Targets:

·           Determine whether quantities are in a proportional relationship.

·           Solve problems involving proportional relationships.

8-3  Learning Targets:

·           Convert between measurement. Use unit rates and proportions for conversions.

Ratios and Unit Rates

Solving unit rates problem

Identifying and Solving Proportions

Writing proportions

Solve a proportion with an unknown variable

Solve a proportion with unknown variable word problem

Analyzing proportional relationships from a table

Activity 9

Proportional Reasoning

9-1 Learning Targets:

·           Given representations of proportional relationships, represent constant rates of change with equations of the form y = kx.

·           Determine the meaning of points on a graph of a proportional relationship.

·           Solve problems involving proportional relationships.

9-2  Learning Targets:

·           Determine the constant of proportionality from a table, graph, equation, or verbal description of a proportional relationship.

Analyzing Proportional Relationships

Analyzing proportional relationships from a table

Constructing and Solving Proportional Relationships

Constructing an equation for a proportional relationship

Solve a proportion with an unknown variable

Activity 10

Proportional Relationships and Scale

10-1 Learning Targets:

·           Represent proportional relationships by equations.

·           Determine the constant of proportionality from a table, graph, equation, or verbal description of a proportional relationship.

·           Solve problems using scale drawings.

10-2 Learning Targets:

·           Given the scale of a map and a distance on a map, find the actual distance.

·           Convert scale factors with units to scale factors without units.

10-3 Learning Targets:

·           Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing.

·           Reproduce a scale drawing at a different scale.

Constructing and Solving Proportional Relationships

Constructing an equation for a proportional relationship

Construction proportions to solve application problems

Solve a proportion with an unknown variable

 

Using Scale Drawings

How to make a scale drawing

Interpreting a scale drawing

Solve a scale drawing word problem

Activity 11

Percent Problems

11-1 Learning Targets:

·           Find a percent of a number.

·           Find the percent that one number is of another.

·           Given the percent and the whole, find the part.

11-2        Learning Targets:

·       Solve problems about sales tax, tips, and commissions.

Finding Percent

Finding a percentage

Percent Problems

Solving percent 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

Percent and Decimals

Converting percents to decimals

Converting percents to decimals example 2

Converting percent to decimal and fraction

Converting decimals to percents

Converting decimals to percents example 2

Activity 12

More Percent Problems

12-1 Learning Targets:

·           Solve problems about percent increase, percent decrease, markups, and discounts.

12-2 Learning Targets:

·           Solve problems about percent increase, percent decrease, markups, and discounts.

12-3 Learning Targets:

·           Solve problems about interest.

12-4 Learning Targets:

·           Solve problems about percent error.

Percent Problems

Growing by a percentage

Solving percent problems

 

Unit 4:  Geometry

Activity 13

Angle Pairs

13-1 Learning Targets:

·           Use facts about complementary, supplementary, and adjacent angles to write equations.

·           Solve simple equations for an unknown angle in a figure.

13-2 Learning Targets:

·           Write and solve equations using geometry concepts.

·           Solve problems involving the sum of the measures of the angles in a triangle.

·           Solve equations involving angle relationships.

Measures of Angles

Complementary and supplementary angles

Find measure of complementary angles

Find measure of supplementary angles

Introduction to vertical angles

Find measure of vertical angles

Find measure of angles in a word problem

Solving for an angle

Activity 14

Triangle Measurements

14-1 Learning Targets:

·           Decide if three side lengths determine a triangle.

·           Draw a triangle given measures of sides.

14-2 Learning Targets:

·           Draw a triangle given measures of angles and/or sides.

·           Recognize when given conditions determine a unique triangle, more than one triangle, or no triangle.

Constructing Triangles

Construct a triangle with constraints

Activity 15

Similar Figures

15-1 Learning Targets:

·           Identify whether or not polygons are similar.

·           Find a common ratio for corresponding side lengths of similar polygons.

15-2 Learning Targets:

·           Apply properties of similar figures to determine missing lengths.

·           Solve problems using similar figures.

Similar Triangles

Similar triangle basics

Similar triangles

Similar triangles (part 2)

Activity 16

Circles:  Circumference and Area

16-1 Learning Targets:

·           Investigate the ratio of the circumference of a circle to its diameter.

·           Apply the formula to find the circumference of a circle.

16-2 Learning Targets:

·           Approximate the area of a circle.

·           Apply the formula to find the area of a circle.

Circle Basics

Circles: radius, diameter, circumference and Pi

Labeling parts of a circle

 

Circumference of a Circle

Circumference of a circle

Area of a Circle

Area of a circle

Activity 17

Composite Area

17-1 Learning Targets:

·           Determine the area of geometric figures.

·           Determine the area of composite figures.

17-2 Learning Targets:

·           Determine the area of composite figures.

·           Solve problems involving area.

Area of Polygons

Perimeter and area: the basics

Area of a parallelogram

Area of a trapezoid

Area of a kite

Finding area by breaking up the shape

Finding area by rearranging parts

Area of strange quadrilateral

Activity 18

Sketching Solids

18-1 Learning Targets:

·           Draw different views of three-dimensional solids.

·           Identify cross sections and other views of pyramids and prisms.

18-2 Learning Targets:

·           Calculate the lateral and total surface area of prisms.

18-3        Learning Targets:

·           Calculate the lateral and total surface area of pyramids.

Nets of Three-dimensional Figures

Nets of polyhedra

Finding surface area: nets of polyhedra

Activity 19

Volume

19-1 Learning Targets:

·           Calculate the volume of prisms.

19-2 Learning Targets:

·           Calculate the volume of pyramids.

·           Calculate the volume of complex solids.

·           Understand the relationship between the volume of a prism and the volume of a pyramid.

Volume of Three-dimensional Figures

Volume of a rectangular prism: fractional dimensions

Volume of a rectangular prism: fractional cubes

Volume of a rectangular prism: word problem

Find the volume of a triangular prism and cube

Unit 5:  Probability

Activity 20

Exploring Probability

20-1 Learning Targets:

·           Reason about the likelihood of winning a game based on a probability experiment.

·           Provide support for winning strategies of a game based on a probability experiment.

20-2 Learning Targets:

·           Collect data about chance processes in frequency tables or lists.

·           Determine probabilities for outcomes in a probability experiment.

·           Describe the results of an investigation and support the conclusions.

20-3 Learning Targets:

·           Interpret a probability as the fraction of the number of times that an outcome occurs when a probability experiment is repeated many times.

·           Estimate probabilities of outcomes in probability experiments.

20-4 Learning Targets:

·           Make decisions based on probabilities.

·           Expect variation in results from chance processes.

·           Write about chance processes and justify conclusions based on probability experiments.

Basic Probability

Probability explained

Determining probability

Finding probability example

Finding probability example 2

Finding probability example 3

Activity 21

Probability

21-1 Learning Targets:

·           Recognize when a probability experiment has outcomes that are equally likely.

·           Calculate probabilities for a probability experiment with equally likely outcomes.

·           Know what “selected at random” means.

21-2 Learning Targets:

·           Calculate theoretical probabilities for a probability experiment.

·           Estimate probabilities by observing outcomes of a probability experiment.

21-3 Learning Targets:

·       Compare theoretical probabilities and estimated probabilities.

Comparing Probabilities

 

Activity 22

Games and Probability

22-1 Learning Targets:

·           Use observed outcomes to estimate probabilities.

·           Use tables to represent the possible outcomes of a probability experiment.

22-2 Learning Targets:

·           Use tables to represent the possible outcomes of a probability experiment.

·       Assign probabilities to outcomes in a sample space.

·           Use probabilities assigned to outcomes in a sample space to compute event probabilities.

22-3 Learning Targets:

·           Use observed outcomes to estimate probabilities.

·           Use tables and tree diagrams to represent the possible outcomes of a probability experiment.

·           Calculate the probabilities of events for a probability experiment with equally likely outcomes.

22-4 Learning Targets:

·           Use observed outcomes to estimate probabilities.

·           Use tables and tree diagrams to represent the possible outcomes of a probability experiment.

Constructing Probability Models

 

Activity 23

Probability

23-1 Learning Targets:

·           Use artificial processes to simulate outcomes.

·           Assign random digits to outcomes.

·           Carry out a simulation using random digits.

23-2 Learning Targets:

·           Design and carry out a simulation.

·           Use a simulation to estimate a probability.

23-3 Learning Targets:

·           Design and carry out the simulation of a compound event.

·           Use a simulation to estimate the probability of a compound event.

23-4 Learning Targets:

·           Design and carry out the simulation of a compound event.

·           Use a simulation to estimate the probability of a compound event.

 

Unit 6:  Statistics

Activity 24

Statistics

24-1 Learning Targets:

·           Determine from what population data have been collected.

·           Determine if a data collection is a census.

·           Distinguish between a population and a sample.

24-2 Learning Targets:

·           Understand that the way a sample is selected is important.

·       Understand that random sampling is a fair method for selecting a sample.

·       Use the random-number digit table to select a random sample.

Sampling

Reasonable samples

Inferring population mean from sample mean

Activity 25

Exploring Sampling Variability

25-1 Learning Targets:

·           Understand the difference between variability in a population and sampling variability.

·           Know that increasing the sample size decreases sampling variability.

25-2 Learning Targets:

·           Use data from a random sample to estimate a population characteristic.

·           Understand the implications of sampling variability when estimating a population characteristic.

·           Use data from a random sample to draw a conclusion about a population.

 

Sampling

Reasonable samples

Inferring population mean from sample mean

Activity 26

Comparative Statistics

26-1 Learning Targets:

·           Compare the means of two numerical samples.

·           Understand that a meaningful difference between two sample means is one that is greater than would have been expected due to sampling variability alone.

·           Use data from random samples to compare populations

26-2        Learning Targets:

·       Compare population means for populations with approximately the same amount of variability.

·       Express the difference in the sample means in terms of mean absolute deviation (MAD).

·       Draw differences based on sample size and the difference in sample means relative to the MAD

26-3 Learning Targets:

·           Calculate the mean absolute deviation (MAD)

·           Use two random samples to compare population means.

·           Draw conclusions about populations with similar amounts of variability based on the difference of two sample means

Comparative Statistics

 

.Unit 7:  Personal Financial Literacy

Activity 27

Budgeting and Money Management

N/A

Probability explained

Determining probability

Finding probability example

Finding probability example 2

Finding probability example 3