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 | ||

Adding and Subtracting Decimals | ||

Subtracting decimals example 1 | ||

Multiplying Decimals | ||

Dividing Whole Numbers | ||

Dividing Decimals | ||

Dividing by a multi-digit decimal | ||

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 | |

Exponents | ||

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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 | ||

Least Common Multiple | ||

Least common multiple exercise Least common multiple exercise 2 | ||

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 | |

Visualizing equivalent fractions Equivalent fraction word problem example Equivalent fraction word problem example 2 | ||

Comparing and Ordering Fractions | ||

Comparing and ordering fractions Comparing fractions with greater than and less than symbols | ||

Mixed Numbers | ||

Mixed numbers and improper fractions Converting mixed numbers to improper fractions | ||

Comparing and Ordering Mixed Numbers | ||

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 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 | ||

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 | ||

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 | |

Absolute Value | ||

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 numbers with different signs Subtracting a negative = adding a positive
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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 | |

Coordinate plane: plot ordered pairs Coordinate plane: have all the points been graphed? | ||

Reflecting Points on the Coordinate Plane | ||

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 | |

Multiplying Integers | ||

Multiplying positive and negative numbers Dividing positive and negative numbers Multiplying numbers with different signs
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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: putting it all together
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Evaluating Algebraic Expressions | ||

Expression terms, factors and coefficients Evaluating an expression example | ||

Writing Expressions | ||

Properties of Operations | ||

Commutative property for addition Commutative law of multiplication Associative law of multiplication Number properties terminology 1 Identity property of 1 (second example) | ||

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 | ||

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 | |

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 | ||

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 problem: one variable Constructing and solving a one-step inequality
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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
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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 | |

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 | ||

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 | |

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Unit Conversions: Real-World Examples | ||

Unit conversion word problem: roadtrip | ||

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 | |

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 | |

Percent, Fractions, and Decimals | ||

Converting percent to decimal and fraction Converting decimals to percents Converting decimals to percents example 2 | ||

Finding Percents | ||

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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 | ||

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.
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Properties of Triangles and Angle Measure | ||

Triangles: using angles to categorize
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Triangle Inequality Theorem | ||

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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 | |

Quadrilaterals: find the type exercise Quadrilaterals: classifying shapes
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Quadrilaterals: Perimeter and Area | ||

Perimeter and area: the basics Finding area by rearranging parts Finding area by breaking up the shape Perimeter and area of a non-standard polygon
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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 | |

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 | |

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: measuring with unit cubes Volume: measuring as area times length Volume of a rectangular prism: fractional cubes
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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 | |

Bar Charts | ||

Reading bar charts: comparing two sets of data
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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
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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 | |

Histograms | ||

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