Curriculum Standards

7.1.1: Generate and solve complex abstract problems that involve modeling physical, social, or mathematical phenomena.

7.1.2: Evaluate conjectures and pose follow-up questions to prove or disprove conjectures.

7.1.4: Understand equivalent symbolic expressions as distinct symbolic forms that represent the same relationship.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Exponents and Power Rules

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Using Algebraic Expressions

7.1.6: Use correct and clearly written or spoken words, variables, and notation to communicate about significant mathematical tasks.

7.1.7: Generalize connections among a variety of representational forms and real-world situations.

7.1.8: Use standard and nonstandard representations to convey and support mathematical relationships.

7.2.1: Understand fractional percentages and percentages greater than one hundred.

Percents, Fractions, and Decimals

7.2.2: Represent the location of rational numbers and square roots of perfect squares on a number line.

Fraction Garden (Comparing Fractions)

Rational Numbers, Opposites, and Absolute Values

7.2.3: Compare rational numbers, percentages, and square roots of perfect squares by using the symbols "less than or equal to", "greater than or equal to", <, >, and =.

Comparing and Ordering Decimals

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

7.2.4: Understand the meaning of absolute value.

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

7.2.5: Apply ratios, rates, and proportions to discounts, taxes, tips, interest, unit costs, and similar shapes.

Beam to Moon (Ratios and Proportions)

Compound Interest

Household Energy Usage

Percent of Change

Road Trip (Problem Solving)

Similar Figures

7.2.7: Translate between standard form and scientific notation.

Unit Conversions 2 - Scientific Notation and Significant Digits

7.2.8: Generate strategies to add, subtract, multiply, and divide integers.

Adding and Subtracting Integers

Adding on the Number Line

Addition of Polynomials

7.2.9: Apply an algorithm to multiply and divide fractions and decimals.

Dividing Fractions

Dividing Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

7.2.10: Understand the inverse relationship between squaring and finding the square roots of perfect squares.

7.3.1: Analyze geometric patterns and pattern relationships.

Arithmetic and Geometric Sequences

Finding Patterns

7.3.2: Analyze tables and graphs to describe the rate of change between and among quantities.

Elevator Operator (Line Graphs)

7.3.3: Understand slope as a constant rate of change.

Cat and Mouse (Modeling with Linear Systems)

Distance-Time and Velocity-Time Graphs

Elevator Operator (Line Graphs)

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

7.3.4: Use inverse operations to solve two-step equations and two-step inequalities.

Modeling One-Step Equations

Solving Equations by Graphing Each Side

Solving Two-Step Equations

7.3.5: Represent on a number line the solution of a two-step inequality.

Absolute Value Equations and Inequalities

Compound Inequalities

7.3.6: Represent proportional relationships with graphs, tables, and equations.

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

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

Proportions and Common Multipliers

7.3.7: Classify relationships as either directly proportional, inversely proportional, or nonproportional.

7.4.4: Translate between two- and three-dimensional representations of compound figures.

3D and Orthographic Views

Surface and Lateral Areas of Prisms and Cylinders

7.4.5: Analyze the congruent and supplementary relationships-specifically, alternate interior, alternate exterior, corresponding, and adjacent-of the angles formed by parallel lines and a transversal.

7.4.6: Compare the areas of similar shapes and the areas of congruent shapes.

Circumference and Area of Circles

7.5.1: Use ratio and proportion to solve problems involving scale factors and rates.

Beam to Moon (Ratios and Proportions)

Dilations

Percents and Proportions

Proportions and Common Multipliers

Road Trip (Problem Solving)

Similar Figures

7.5.2: Apply strategies and formulas to determine the surface area and volume of the three-dimensional shapes prism, pyramid, and cylinder.

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

7.5.4: Recall equivalencies associated with length, mass and weight, and liquid volume: 1 square yard = 9 square feet, 1 cubic meter = 1 million cubic centimeters, 1 kilometer = 5/8 mile, 1 inch = 2.54 centimeters; 2.2 kilograms = 1 pound; and 1.06 quarts = 1 liter.

7.5.5: Use one-step unit analysis to convert between and within the U.S. Customary System and the metric system.

7.6.1: Predict the characteristics of two populations based on the analysis of sample data.

Polling: City

Polling: Neighborhood

7.6.2: Organize data in box plots or circle graphs as appropriate.

Box-and-Whisker Plots

Graphing Skills

Reaction Time 2 (Graphs and Statistics)

7.6.3: Apply procedures to calculate the interquartile range.

7.6.4: Interpret the interquartile range for data.

7.6.5: Apply procedures to calculate the probability of mutually exclusive simple or compound events.

7.6.6: Interpret the probability of mutually exclusive simple or compound events.

7.6.7: Differentiate between experimental and theoretical probability of the same event.

Geometric Probability

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

Correlation last revised: 3/31/2017

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