2014c Course 3

Khan Academy Video Correlations

By SpringBoard Activity

SB Activity | Video(s) |

Unit 1: Numerical Relationships | |

| Patterns |

Activity 1 Investigating Patterns 1-1 Learning Targets: · Analyze simple sequences. · Describe patterns in simple sequences and give the next terms in a sequence. 1-2 Learning Targets: · Analyze more complex sequences. · Describe patterns in sequences and develop methods for predicting any term in a sequence 1-3 Learning Targets: · Understand increasing and decreasing sequences. · Analyze sequences containing mathematical operations and those based on other patterns. | Number patterns: Seeing relationships |

Activity 2 Operations with Fractions 2-1 Learning Targets: · Represent a real-world context with fractions. · Simplify expressions involving fractions by adding and subtracting 2-2 Learning Targets: · Represent a real-world context with fractions. · Simplify expressions involving fractions by multiplying and dividing. · Write the reciprocal of a number. | Adding and Subtracting Fractions |

Multiplying and Dividing Fractions | |

Activity 3 Powers and Roots 3-1 Learning Targets: · Interpret and simplify the square of a number. · Determine the square root of a perfect square 3-2 Learning Targets: · Interpret and simplify the cube of a number. · Determine the cube root of a perfect cube 3-3 Learning Targets: · Simplify expressions with powers and roots. · Follow the order of operations to simplify expressions | Exponents |

Roots | |

Order of Operations | |

Activity 4 Rational Numbers 4-1 Learning Targets: · Model fractions graphically. · Convert between fractions, decimals, and percents. 4-2 Learning Targets: · Define and recognize rational numbers. · Represent repeating decimals using bar notation. · Convert a repeating decimal to a fraction. 4-3 Learning Targets: · Compare rational numbers in different forms. · Represent repeating decimals using bar notation. · Utilize various forms of rational numbers. | Converting Between Forms of Rational Numbers |

Converting percent to decimal and fraction Converting fractions to decimals Converting a fraction to a repeating decimal Converting repeating decimals to fractions 1 Converting repeating decimals to fractions 2 Converting decimals to fractions 2 (ex 1) Converting decimals to fractions 2 (ex 2) Converting decimals to percents Converting decimals to percents example 2 | |

Activity 5 Rational and Irrational Numbers 5-1 Learning Targets: · Differentiate between rational and irrational numbers. · Approximate an irrational number in terms of a rational number 5-2 Learning Targets: · Approximate an irrational number in terms of a rational number. · Compare and order irrational and rational numbers. | Irrational Numbers |

Introduction to rational and irrational numbers | |

Activity 6 Properties of Exponents 6-1 Learning Targets: · Understand and apply properties of integer exponents. · Simplify multiplication expressions with integer exponents. · Simplify division expressions with integer exponents. 6-2 Learning Targets: · Understand and apply properties of integer exponents. · Simplify expressions with negative exponents. 6-3 Learning Targets: · Understand and apply properties of integer exponents. · Simplify expressions with zero as the exponent. · Simplify expressions with exponents raised to a power. | Properties of Positive Exponents |

Exponent properties involving products Exponent properties involving quotients | |

Properties of Zero, Fractional, and Negative Exponents | |

Activity 7 Scientific Notation 7-1 Learning Targets: · Express numbers in scientific notation. · Convert numbers in scientific notation to standard form. · Use scientific notation to write estimates of quantities. 7-2 Learning Targets: · Express numbers in scientific notation. · Convert numbers in scientific notation to standard form. · Compare and order numbers in scientific notation. · Use scientific notation to write estimates of quantities. | Scientific Notation |

Activity 8 Operations with Scientific Notation 8-1 Learning Targets: · Multiply numbers expressed in scientific notation. · Divide numbers expressed in scientific notation 8-2 Learning Targets: · Add numbers expressed in scientific notation. · Subtract numbers expressed in scientific notation. | Multiplying and Dividing in Scientific Notation |

Multiplying and dividing in scientific notation Multiplying in scientific notation | |

Unit 2: Equations | |

Activity 9 Writing Expressions 9-1 Learning Targets: · Identify and represent patterns using models, tables, and expressions. · Write and evaluate algebraic expressions that represent patterns with constant differences. 9-2 Learning Targets: · Identify patterns that do not have a constant difference. · Write and evaluate algebraic expressions that represent patterns that do not have a constant difference. | Algebraic Expressions |

Representing Patterns | |

Number patterns: Seeing relationships | |

Writing Algebraic Expressions | |

Evaluating Algebraic Expressions | |

Activity 10 Solving Equations 10-1 Learning Targets: · Solve linear equations with rational number coefficients. · Solve linear equations by using the Distributive Property and collecting like terms. 10-2 Learning Targets: · Use linear equations with one variable to model and solve real-world and mathematical problems. · Solve linear equations with variables on both sides of the equation by using the Distributive Property and collecting like terms. | Solving Linear Equations with Variables on Both Sides |

Example 1: Variables on both sides | |

Solving Equations Using the Distributive Property | |

Solving equations with the distributive property Solving equations with the distributive property 2 Ex 1: Distributive property to simplify | |

Number of Solutions to a Linear Equation | |

Number of solutions to linear equations | |

Activity 11 Exploring Slope 11-1 Learning Targets: · Understand the concept of slope as the ratio between any two points on a line. · Graph proportional relationships; interpret the slope and the y-intercept (0, 0) of the graph. · Use similar right triangles to develop an understanding of slope, 11-2 Learning Targets: · Understand the connections among proportional relationships, lines, and linear equations. · Graph proportional relationships; interpret the slope and the y-intercept (0, y) of graphs. · Examine linear relationships as graphs and as equations to solve real-world problems. | Slope |

y-intercepts | |

Activity 12 Slope-Intercept Form 12-1 Learning Targets: · Graph linear relationships represented in different forms. · Write an equation in the form y = mx + b to model a linear relationship between two quantities. · Interpret the meaning of slope and y-intercept in a problem context. 12-2 Learning Targets: · Compare different proportional relationships represented in different ways. · Graph linear relationships and identify and interpret the meaning of slope in graphs. 12-3 Learning Targets: · Derive equations of the form y = mx and y = mx + b from their graphs. · Graph linear relationships and identify and interpret the meaning of slope and y-intercept in graphs. | Graphing Linear Equations |

Writing Linear Equations | |

Multiple examples of constructing linear equations in slope-intercept form
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Interpreting Key Characteristics of Linear Functions | |

Activity 13 Proportional Relationships 13-1 Learning Targets: · Represent linear proportional situations with tables, graphs, and equations. · Identify slope and y-intercept in these representations and interpret their meaning in real-life contexts. 13-2 Learning Targets: · Solve problems involving direct variation. · Distinguish between proportional and nonproportional situations using tables, graphs, and equations | Linear Proportional Relationships |

Graphing proportional relationships example Graphing proportional relationships example 2 | |

Directly Proportional Relationships | |

Activity 14 Graphing Systems of Linear Equations 14-1 Learning Targets: · Understand that solutions to systems of linear equations correspond to the points of intersection of their graphs. · Solve systems of linear equations numerically and by graphing. · Use systems of linear equations to solve real-world and mathematical problems. 14-2 Learning Targets: · Convert linear equations into slope-intercept form. · Solve systems of linear equations by graphing. · Solve simple systems of linear equations by inspection. | Solving Systems of Linear Equations Graphically |

Solving linear systems by graphing Graphical systems application problem Example 2: Graphically solving systems | |

Activity 15 Solving Systems of Linear Equations Algebraically 15-1 Learning Targets: · Connect solutions to systems of linear equations to the points of intersection of their graphs. · Solve systems of linear equations algebraically 15-2 Learning Targets: · Write linear systems to solve real-world and mathematical problems. · Solve systems of linear equations algebraically. | Solving Linear Systems Algebraically: Substitution |

Example 1: Solving systems by substitution Example 2: Solving systems by substitution | |

Solving Linear Systems Algebraically: Elimination | |

Example 1: Solving systems by elimination Example 2: Solving systems by elimination | |

Applications of Linear Systems | |

Using a system of equations to find the price of apples and oranges Linear systems word problem with substitution | |

Unit 3: Geometry | |

Activity 16 Angle-Pair Relationships 16-1 Learning Targets: · Identify and determine the measure of complementary angles. · Identify and determine the measure of supplementary angles. 16-2 Learning Targets: · Determine the measure of angles formed by parallel lines and transversals. · Identify angle pairs formed by parallel lines and transversals. | Complementary and Supplementary Angles |

Complementary and supplementary angles | |

Angles formed by Parallel Lines and Transversals | |

Angles formed by parallel lines and transversals Figuring out angles between transversal and parallel lines Using algebra to find measures of angles formed from transversal | |

Activity 17 Angles of Triangles and Quadrilaterals 17-1 Learning Targets: · Describe the relationship among the angles of a triangle. · Write and solve equations involving angles of a triangle. 17-2 Learning Targets: · Describe and apply the relationship between an exterior angle of a triangle and its remote interior angles. · Describe and apply the relationship among the angles of a quadrilateral. | Angles in Triangles |

Proof: Sum of measures of angles in a triangle are 180 | |

Activity 18 Introduction to Transformations 18-1 Learning Targets: · Recognize rotations, reflections, and translations in physical models. · Explore rigid transformations of figures. 18-2 Learning Targets: · Determine the effect of translations on two-dimensional figures using coordinates. · Represent and interpret translations involving words, coordinates, and symbols. 18-3 Learning Targets: · Determine the effect of reflections on two-dimensional figures using coordinates. · Represent and interpret reflections involving words, coordinates, and symbols. 18-4 Learning Targets: · Determine the effect of rotations on two-dimensional figures using coordinates. · Represent and interpret rotations involving words, coordinates, and symbols. | Translations and Coordinates |

Reflections and Coordinates | |

Rotations and Coordinates | |

Activity 19 Rigid Transformations and Compositions 19-1 Learning Targets: · Explore properties of translations, rotations, and reflections on two-dimensional figures. · Explore congruency of transformed figures. 19-2 Learning Targets: · Explore composition of transformations. · Describe the effect of composition of translations, rotations, and reflections on two-dimensional figures using coordinates. | Congruence and Transformations |

Activity 20 Similar Triangles 20-1 Learning Targets: · Identify similar triangles. · Identify corresponding sides and angles in similar triangles. 20-2 Learning Targets: · Determine whether triangles are similar given side lengths or angle measures. · Calculate unknown side lengths in similar triangles. | Exploring Similar Triangles |

Activity 21 Dilations 21-1 Learning Targets: · Investigate the effect of dilations on two-dimensional figures. · Explore the relationship of dilated figures on the coordinate plane. 21-2 Learning Targets: · Determine the effect of the value of the scale factor on a dilation. · Explore how scale factor affects two-dimensional figures on a coordinate plane. | Dilations |

Activity 22 The Pythagorean Theorem 22-1 Learning Targets: · Investigate the Pythagorean Theorem. · Understand and apply the Pythagorean Theorem. 22-2 Learning Targets: · Investigate the Pythagorean Theorem. · Find missing side lengths of right triangles using the Pythagorean Theorem. | Pythagorean Theorem Basics |

Activity 23 Applying the Pythagorean Theorem 23-1 Learning Targets: · Apply the Pythagorean Theorem to solve problems in two dimensions. · Apply the Pythagorean Theorem to solve problems in three dimensions. 23-2 Learning Targets: · Apply the Pythagorean Theorem to right triangles on the coordinate plane. · Find the distance between points on the coordinate plane. | Applications of the Pythagorean Theorem |

Thiago asks: How much time does a goalkeeper have to react to a penalty kick? | |

Activity 24 Converse of the Pythagorean Theorem 24-1 Learning Targets: · Explain the converse of the Pythagorean Theorem. · Verify whether a triangle with given side lengths is a right triangle. 24-2 Learning Targets: · Verify whether a set of whole numbers is a Pythagorean triple. · Use a Pythagorean triple to generate a new Pythagorean triple.
| N/A |

Activity 25 Surface Area 25-1 Learning Targets: · Find the lateral and surface areas of rectangular prisms. · Find the lateral and surface areas of triangular prisms. 25-2 Learning Targets: · Find the lateral area of cylinders. · Find the surface area of cylinders. | Surface Area |

Activity 26 Volumes of Solids 26-1 Learning Targets: · Apply the formula for the volume of a prism. · Apply the formula for the volume of a pyramid. 26-2 Learning Targets: · Apply the formula for the volume of a cone. · Apply the formula for the volume of a cylinder. · Apply the formula for the volume of a sphere. 26-3 Learning Targets: · Decompose composite solids into simpler three-dimensional figures. · Find the volume of composite solids. | Volume |

Find the volume of a triangular prism and cube | |

Unit 4: Functions | |

Activity 27 Introduction to Functions 27-1 Learning Targets: · Define relation and function. · Evaluate functions. 27-2 Learning Targets: · Understand that a function is a rule that assigns exactly one output to each input. · Identify functions using ordered pairs, tables, and mappings. 27-3 Learning Targets: · Define domain and range. · Determine the domain and range of a relation. 27-4 Learning Targets: · Identify functions using graphs. · Understand the difference between discrete and continuous data. | What is a Function |

Difference between equations and functions Evaluating with function notation Understanding function notation (example 1) | |

Mapping Inputs and Outputs | |

Identifying Functions | |

Domain and range of a relation | |

Graphs of Functions | |

Activity 28 Comparing Functions 28-1 Learning Targets: · Represent functions algebraically, graphically, tabularly, or verbally. · Compare properties of two or more functions. 28-2 Learning Targets: · Compare properties of two or more functions, each represented in a different way. · Identify examples of proportional and nonproportional functions. | Comparing Linear Functions |

Activity 29 Constructing Functions 29-1 Learning Targets: · Construct a function to model a linear relationship between two quantities. · Graph functions that model linear relationships. 29-2 Learning Targets: · Determine the rate of change and initial value of a function. · Interpret the rate of change and initial value of a linear function in terms of the situation it models. · Identify examples of proportional and nonproportional functions that arise from mathematical and real-world problems. | Constructing Functions |

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Activity 30 Linear Functions 30-1 Learning Targets: · Model linear relationships between quantities using functions. · Identify and represent linear functions with tables, graphs, and equations. 30-2 Learning Targets: · Identify linear and non-linear functions from tables, graphs, and equations. · Graph a linear function from a verbal description. · Understand that y = mx + b defines a linear equation. | Rate of Change |

Activity 31 Linear and Non-Linear Functions 31-1 Learning Targets: · Determine if a function is linear or non-linear. · Represent functions with tables, graphs, and equations. · Find a trend line to represent data. 31-2 Learning Targets: · Define, evaluate, and compare functions. · Recognize patterns in non-linear functions. · Represent functions with tables, graphs, and equations. 31-3 Learning Targets: · Recognize the relationship between verbal descriptions and graphs of linear and non-linear functions. · Use a trend line to make predictions. | Linear and Non-Linear Functions |

Linear and nonlinear functions (example 1) | |

Unit 5: Probability and Statistics | |

Activity 32 Scatter Plots and Association 32-1 Learning Targets: · Make a scatter plot. · Recognize patterns in scatter plots. 32-2 Learning Targets: · Recognize patterns in scatter plots. · Describe association between two numerical variables in terms of direction, form and strength. | Scatter Plots |

Activity 33 Bivariate Data 33-1 Learning Targets: · Collect bivariate data from an experiment. · Summarize bivariate data in a scatter plot. 33-2 Learning Targets: · Informally fit a line to bivariate data. · Use a trend line to make a prediction. 33-3 Learning Targets: · Interpret scatter plots. · Use a trend line to make predictions. | Trend Lines |

Activity 34 Median-Median Line 34-1 Learning Targets: · Determine if a linear model is a good fit for a scatter plot. · Find the median-median line for bivariate numerical data. 34-2 Learning Targets: · Find the median-median line for bivariate numerical data. · Use the median-median line to make predictions. | N/A |

Activity 35 Two-Way Tables and Association 35-1 Learning Targets: · Analyze two-way tables and find relative frequencies. · Construct segmented bar graphs to display association. 35-2 Learning Targets: · Understand association between two categorical variables. · Describe association between two categorical variables. | Two-Way Frequency Tables |

Two-way frequency tables and Venn diagrams | |

Investigating Association | |

Unit 6: Personal Financial Literacy | |

Activity 36 Managing Money | N/A |