Grade Level Expectations

1.1.2: Use square numbers and square roots to reason about the relationship between the side of a square and area of the square (e.g., side of a square with an area of 9 is the square root of 9 or 3, side of a square with area of 5 is the square root of 5)

1.1.3: Apply knowledge of factors and multiples, evens and odds, primes and composites, to generalizations

Arithmetic and Geometric Sequences

Chocomatic (Multiplication, Arrays, and Area)

1.1.4: Explore the meaning of irrational numbers such as pi, or the square root of 3

Circumference and Area of Circles

Simplifying Radical Expressions

1.2.1: Perform computations with exponents, powers of 10, and scientific notation

1.2.3: Demonstrate the reasonableness of an exact calculation by using an estimation or mental math strategy

Estimating Sums and Differences

1.2.4: Explain how the distributive property is used to multiply (e.g., partial products, mixed numbers)

Chocomatic (Multiplication, Arrays, and Area)

Equivalent Algebraic Expressions II

Square Roots

1.2.6: Apply proportional reasoning strategies to solve real-world problems

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Part-to-part and Part-to-whole Ratios

Percents and Proportions

Proportions and Common Multipliers

1.2.7: Select and use appropriate methods and tools for computing (e.g., mental computation, estimation, calculators, paper and pencil) depending on the context and nature of the computation

Estimating Sums and Differences

2.1.1: Determine the slope of a line given two points on the line (as coordinates, in a graph, in a table)

Cat and Mouse (Modeling with Linear Systems)

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

2.1.2: Use y-intercept and slope to graph the equation of a line

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

2.1.3: Compare the rates of change in tables and graphs and classify them as linear or nonlinear

Cat and Mouse (Modeling with Linear Systems)

2.1.4: Recognize exponential rates of growth and decay in tables and graphs

2.2.1: Write an equation given the tabular or graphic form of a linear problem

Exponential Functions

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

Points, Lines, and Equations

2.2.2: Analyze the interrelationships among tables, graphs, and equations of lines, paying particular attention to the meaning of intercept and slope in the context of the problem

Cat and Mouse (Modeling with Linear Systems)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Point-Slope Form of a Line

Points, Lines, and Equations

Slope

Slope-Intercept Form of a Line

Standard Form of a Line

2.2.3: Demonstrate the equivalence of two algebraic expressions using physical models

Modeling the Factorization of *x*^{2}+*bx*+*c*

Using Algebraic Expressions

2.2.4: Use tables, graphs and symbolic reasoning to identify functions as linear or nonlinear

Absolute Value with Linear Functions

Linear Functions

2.3.1: Apply the order of operations

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Order of Operations

2.3.2: Explore the factor/product relationship between a quadratic expression and its linear factors.

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

Quadratics in Factored Form

2.3.3: Use physical models to develop and write exponential and power models

Compound Interest

Exponential Functions

Introduction to Exponential Functions

2.3.4: Combine two algebraic expressions to form a new expression

Equivalent Algebraic Expressions I

Simplifying Algebraic Expressions II

2.3.6: Solve linear equations using inverse operations and properties of equality.

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Two-Step Equations

3.1.1: Apply angle relationships to solve problems

3.2.1: Apply proportional reasoning strategies to find unknown sides of similar triangle

Beam to Moon (Ratios and Proportions)

3.2.3: Use the Pythagorean Theorem to find missing sides of right triangles

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

3.3.1: Demonstrate the relationship between the area of the base and volume of prisms and cylinders

3.3.2: Demonstrate the effects of scaling on volume and surface area of rectangular prisms (i.e., how does doubling the side lengths affect the volume?)

Surface and Lateral Areas of Prisms and Cylinders

3.3.4: Find the measures of corresponding parts of similar figures

Beam to Moon (Ratios and Proportions)

Perimeters and Areas of Similar Figures

Similar Figures

4.1.1: Pose questions that can be answered by collecting and organizing data from experiments, surveys, and relevant print and electronic resources

Correlation

Describing Data Using Statistics

Stem-and-Leaf Plots

4.1.2: Use random sampling methods to collect the necessary information to answer questions

Polling: City

Polling: Neighborhood

4.2.1: Construct displays of data to represent individual sets of data (e.g., histograms, box plots) or to explore the relationship between related sets of data (scatter plots, line graphs); describe the correspondence between data sets and their graphical displays

Box-and-Whisker Plots

Correlation

Histograms

Movie Reviewer (Mean and Median)

Real-Time Histogram

Stem-and-Leaf Plots

Trends in Scatter Plots

4.3.1: Defend or dispute conclusions drawn from the interpretation of data by comparing sets of data or exploring possible relationships based upon scatter plots of related data and approximate lines of fit

Box-and-Whisker Plots

Correlation

Movie Reviewer (Mean and Median)

Trends in Scatter Plots

4.3.2: Analyze a representative sample to make inferences about a population

Polling: City

Polling: Neighborhood

4.3.3: Find and use appropriate measures of center (mean, media, mode) and spread (range, interquartile range) to interpret data

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Stem-and-Leaf Plots

4.4.1: Compare and make predictions based on theoretical and experimental probabilities, using sample data generated through actual experiments or computer simulations

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

4.4.2: Construct an appropriate sample space and apply principles of probability for a simple or compound event

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

4.4.3: Investigate and describe the difference between the experimental probability of a simulated event (experiment) and the theoretical probability of the same event

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

4.4.4: Explore the concepts of randomness and random sample

Polling: City

Polling: Neighborhood

Populations and Samples

Correlation last revised: 1/20/2017

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.