Academic Content Standards

1.A.1: Use scientific notation to express large numbers and small numbers between 0 and 1.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

1.C.4: Explain and use the inverse and identity properties and use inverse relationships (addition/subtraction, multiplication/division, squaring/square roots) in problem solving situations.

Modeling One-Step Equations

Solving Two-Step Equations

Comparing and Ordering Decimals

Integers, Opposites, and Absolute Values

Percents, Fractions, and Decimals

Rational Numbers, Opposites, and Absolute Values

1.G.6: Estimate, compute and solve problems involving rational numbers, including ratio, proportion and percent, and judge the reasonableness of solutions.

Adding Fractions (Fraction Tiles)

Adding and Subtracting Integers

Adding on the Number Line

Beam to Moon (Ratios and Proportions)

Dividing Fractions

Dividing Mixed Numbers

Estimating Population Size

Estimating Sums and Differences

Geometric Probability

Improper Fractions and Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

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

Percent of Change

Percents, Fractions, and Decimals

Rational Numbers, Opposites, and Absolute Values

Sums and Differences with Decimals

1.H.7: Find the square root of perfect squares, and approximate the square root of non-perfect squares as consecutive integers between which the root lies; e.g., [square root of 130] is between 11 and 12.

1.I.3: Apply order of operations to simplify expressions and perform computations involving integer exponents and radicals.

1.I.8: Add, subtract, multiply, divide and compare numbers written in scientific notation.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

2.A.6: Solve and determine the reasonableness of the results for problems involving rates and derived measurements, such as velocity and density, using formulas, models and graphs.

2.B.4: Derive formulas for surface area and volume and justify them using geometric models and common materials. For example, find:

2.B.4.b: that the volume of a pyramid (or cone) is one-third of the volume of a prism (or cylinder) with the same base area and height.

2.C.5: Determine surface area for pyramids by analyzing their parts.

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

2.C.9: Demonstrate understanding of the concepts of perimeter, circumference and area by using established formulas for triangles, quadrilaterals, and circles to determine the surface area and volume of prisms, pyramids, cylinders, spheres and cones. (Note: Only volume should be calculated for spheres and cones.)

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

2.E.10: Use conventional formulas to find the surface area and volume of prisms, pyramids and cylinders and the volume of spheres and cones to a specified level of precision.

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

3.B.3: Use proportions in several forms to solve problems involving similar figures (part-to-part, part-to-whole, corresponding sides between figures).

Beam to Moon (Ratios and Proportions)

3.C.2: Recognize the angles formed and the relationship between the angles when two lines intersect and when parallel lines are cut by a transversal.

3.E.6: Draw nets for a variety of prisms, pyramids, cylinders and cones.

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

3.F.5: Draw the results of translations, reflections, rotations and dilations of objects in the coordinate plane, and determine properties that remain fixed; e.g., lengths of sides remain the same under translations.

Dilations

Rotations, Reflections, and Translations

Translations

4.A.2: Generalize patterns and sequences by describing how to find the * n*th term.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

4.B.3: Identify functions as linear or nonlinear based on information given in a table, graph or equation.

Absolute Value with Linear Functions

Arithmetic Sequences

Exponential Functions

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Simple and Compound Interest

Slope-Intercept Form of a Line

Standard Form of a Line

4.C.1: Relate the various representations of a relationship; i.e., relate a table to graph, description and symbolic form.

Function Machines 1 (Functions and Tables)

Introduction to Functions

4.D.7: Use symbolic algebra (equations and inequalities), graphs and tables to represent situations and solve problems.

Absolute Value Equations and Inequalities

Comparing and Ordering Decimals

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

Linear Inequalities in Two Variables

Points, Lines, and Equations

Solving Equations on the Number Line

Square Roots

Using Algebraic Equations

Using Algebraic Expressions

4.D.8: Write, simplify and evaluate algebraic expressions (including formulas) to generalize situations and solve problems.

Dividing Exponential Expressions

Multiplying Exponential Expressions

Operations with Radical Expressions

Order of Operations

Simple and Compound Interest

Solving Equations by Graphing Each Side

Solving Equations on the Number Line

Using Algebraic Equations

4.E.6: Describe the relationship between the graph of a line and its equation, including being able to explain the meaning of slope as a constant rate of change and y-intercept in real-world problems.

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

4.F.7: Use symbolic algebra (equations and inequalities), graphs and tables to represent situations and solve problems.

Absolute Value with Linear Functions

Exploring Linear Inequalities in One Variable

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

Linear Inequalities in Two Variables

Modeling and Solving Two-Step Equations

Point-Slope Form of a Line

Points, Lines, and Equations

Solving Equations by Graphing Each Side

Square Roots

Standard Form of a Line

Systems of Linear Inequalities (Slope-intercept form)

Using Algebraic Expressions

4.F.9: Solve linear equations and inequalities graphically, symbolically and using technology.

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Solving Equations by Graphing Each Side

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

Solving Two-Step Equations

Systems of Linear Inequalities (Slope-intercept form)

4.G.12: Solve simple quadratic equations graphically; e.g., * y * = * x* ^{2} - 16.

Quadratics in Polynomial Form

Roots of a Quadratic

4.H.10: Solve 2 by 2 systems of linear equations graphically and by simple substitution.

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

4.H.11: Interpret the meaning of the solution of a 2 by 2 system of equations; i.e., point, line, no solution.

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

4.J.13: Compute and interpret slope, midpoint and distance given a set of ordered pairs.

Cat and Mouse (Modeling with Linear Systems)

Distance Formula

Point-Slope Form of a Line

Slope

4.J.15: Describe and compare how changes in an equation affects the related graphs; e.g., for a linear equation changing the coefficient of * x * affects the slope and changing the constant affects the intercepts.

Points, Lines, and Equations

Radical Functions

4.J.16: Use graphing calculators or computers to analyze change; e.g., interest compounded over time as a nonlinear growth pattern.

Translating and Scaling Functions

5.A.1: Use, create and interpret scatterplots and other types of graphs as appropriate.

Correlation

Least-Squares Best Fit Lines

Polling: City

Real-Time Histogram

Solving Using Trend Lines

Stem-and-Leaf Plots

Trends in Scatter Plots

5.B.2: Evaluate different graphical representations of the same data to determine which is the most appropriate representation for an identified purpose; e.g., line graph for change over time, circle graph for part-to-whole comparison, scatterplot for relationship between two variants.

5.C.5: Explain the mean's sensitivity to extremes and its use in comparison with the median and mode.

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Populations and Samples

Stem-and-Leaf Plots

5.D.4: Compare two sets of data using measures of center (mean, mode, median) and measures of spread (range, quartiles, interquartile range, percentiles).

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

5.E.8: Describe how the relative size of a sample compared to the target population affects the validity of predictions.

Polling: City

Polling: Neighborhood

Populations and Samples

5.G.7: Identify different ways of selecting samples, such as survey response, random sample, representative sample and convenience sample.

Polling: City

Polling: Neighborhood

Populations and Samples

5.H.10: Calculate the number of possible outcomes for a situation, recognizing and accounting for when items may occur more than once or when order is important.

Independent and Dependent Events

5.J.11: Demonstrate an understanding that the probability of either of two disjoint events occurring can be found by adding the probabilities for each and that the probability of one independent event following another can be found by multiplying the probabilities.

Independent and Dependent Events

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

Estimating Population Size

Unit Conversions

Biconditional Statements

Conditional Statements

Correlation last revised: 8/29/2016

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