Assessment Frameworks

A.1.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

A.1.1.1: Sort numbers by their properties (e.g., prime, composite, square, square root).

Chocomatic (Multiplication, Arrays, and Area)

Square Roots

A.1.2: Understand the meaning of operations and how they relate to one another.

A.1.2.1: Use real number properties (e.g., commutative, associative, distributive) to perform various computational procedures.

Adding and Subtracting Integers

Chocomatic (Multiplication, Arrays, and Area)

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Square Roots

A.1.2.2: Perform arithmetic operations and their inverses (e.g., addition/subtraction, multiplication/division, square roots of perfect squares, cube roots of perfect cubes) on real numbers.

Adding Fractions (Fraction Tiles)

Adding and Subtracting Integers

Solving Two-Step Equations

Square Roots

Sums and Differences with Decimals

A.1.2.3: Find roots of real numbers using calculators.

A.1.3: Compute fluently and make reasonable estimates.

A.1.3.3: Differentiate between rational and irrational numbers.

Rational Numbers, Opposites, and Absolute Values

A.1.3.5: Perform and explain computations with rational numbers, pi, and first-degree algebraic expressions in one variable in a variety of situations.

Adding Fractions (Fraction Tiles)

Adding and Subtracting Integers

Adding on the Number Line

Compound Interest

Dividing Fractions

Dividing Mixed Numbers

Estimating Sums and Differences

Improper Fractions and Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

A.1.3.6: Select and use appropriate forms of rational numbers to solve real-world problems including those involving proportional relationships.

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

Estimating Population Size

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

Percents and Proportions

Proportions and Common Multipliers

A.1.3.7: Approximate, mentally and with calculators, the value of irrational numbers as they arise from problem situations.

Circumference and Area of Circles

A.1.3.8: Express numbers in scientific notation (including negative exponents) in appropriate problem situations using a calculator.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

B.1.1: Understand patterns, relations, and functions.

B.1.1.1: Move between numerical, tabular, and graphical representations of linear relationships.

Compound Interest

Exponential Functions

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Points, Lines, and Equations

Slope-Intercept Form of a Line

B.1.1.2: Use variables to generalize patterns and information presented in tables, charts, and graphs:

B.1.1.2.a: graph linear functions noting that the vertical change per unit of horizontal change (the slope of the graph) is always the same

Absolute Value with Linear Functions

Cat and Mouse (Modeling with Linear Systems)

Compound Interest

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Standard Form of a Line

B.1.1.2.b: plot the values of quantities whose ratios are always the same, fit a line to the plot, and understand that the slope of the line equals the quantities.

Cat and Mouse (Modeling with Linear Systems)

Least-Squares Best Fit Lines

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

Solving Using Trend Lines

B.1.2: Represent and analyze mathematical situations and structures using algebraic symbols.

B.1.2.1: Demonstrate the difference between an equation and an expression.

Absolute Value Equations and Inequalities

Compound Interest

Linear Functions

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Equations on the Number Line

Using Algebraic Equations

Using Algebraic Expressions

B.1.2.2: Solve two-step linear equations and inequalities in one variable with rational solutions.

Absolute Value with Linear Functions

Compound Inequalities

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Point-Slope Form of a Line

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Equations on the Number Line

Solving Two-Step Equations

Standard Form of a Line

Systems of Linear Inequalities (Slope-intercept form)

B.1.2.4: Demonstrate understanding of the relationships between ratios, proportions, and percents and solve for a missing term in a proportion.

Beam to Moon (Ratios and Proportions)

Geometric Probability

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

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

Rational Numbers, Opposites, and Absolute Values

B.1.2.5: Graph solution sets of linear equations in two variables on the coordinate plane.

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Standard Form of a Line

B.1.2.6: Formulate and solve problems involving simple linear relationships, find percents of a given number, variable situations, and unknown quantities.

Absolute Value with Linear Functions

Arithmetic Sequences

Compound Interest

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Percent of Change

Polling: Neighborhood

Slope-Intercept Form of a Line

B.1.2.7: Use symbols, variables, expressions, inequalities, equations, and simple systems of equations to represent problem situations that involve variables or unknown quantities.

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations I

Solving Equations by Graphing Each Side

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

Solving Linear Systems (Standard Form)

Using Algebraic Equations

Using Algebraic Expressions

B.1.3: Use mathematical models to represent and understand quantitative relationships.

B.1.3.1: Generate different representations to model a specific numerical relationship given one representation of data (e.g., a table, a graph, an equation, a verbal description).

Absolute Value Equations and Inequalities

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Introduction to Functions

Linear Functions

Multiplying with Decimals

Points, Lines, and Equations

B.1.4: Analyze changes in various contexts.

B.1.4.1: Use graphs, tables, and algebraic representations to make predictions and solve problems that involve change.

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Introduction to Functions

Points, Lines, and Equations

Translating and Scaling Functions

Using Algebraic Expressions

B.1.4.2: Estimate, find, and justify solutions to problems that involve change using tables, graphs, and algebraic expressions.

Compound Interest

Points, Lines, and Equations

B.1.4.3: Use appropriate problem-solving strategies (e.g., drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table or graph, working a simpler problem, writing an algebraic expression or working backward) to solve problems that involve change.

Arithmetic Sequences

Geometric Sequences

Translating and Scaling Functions

B.1.4.5: Analyze problems that involve change by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information, sequencing, and observing patterns.

B.1.4.6: Generalize a pattern of change using algebra and show the relationship among the equation, graph, and table of values.

Function Machines 1 (Functions and Tables)

Geometric Sequences

B.1.4.7: Recognize the same general pattern of change presented in different representations.

Function Machines 1 (Functions and Tables)

C.1.1: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

C.1.1.1: Recognize, classify, and discuss properties of all geometric figures including point, line, and plane.

Parallel, Intersecting, and Skew Lines

Points in the Coordinate Plane

C.1.1.2: Identify arc, chord, and semicircle and explain their attributes.

Chords and Arcs

Inscribed Angles

C.1.1.3: Use the Pythagorean Theorem and its converse to find the missing side of a right triangle and the lengths of the other line segments.

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

C.1.3: Apply transformations and use symmetry to analyze mathematical situations.

C.1.3.2: Describe and perform single and multiple transformations that include rotation, reflection, translation, and dilation (i.e., shrink or magnify) to two-dimensional figures.

Circles

Dilations

Holiday Snowflake Designer

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

Similar Figures

Translations

C.1.4: Use visualization, spatial reasoning, and geometric modeling to solve problems.

C.1.4.2: Recognize and apply properties of corresponding parts of similar and congruent triangles and quadrilaterals.

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures

Similarity in Right Triangles

C.1.4.3: Represent and solve problems relating to size, shape, area, and volume using geometric models.

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Circumference and Area of Circles

Perimeter and Area of Rectangles

Perimeters and Areas of Similar Figures

Prisms and Cylinders

Pyramids and Cones

C.1.4.4: Develop and use formulas for area, perimeter, circumference, and volume.

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Circumference and Area of Circles

Perimeter and Area of Rectangles

Prisms and Cylinders

C.1.4.5: Construct two-dimensional patterns for three-dimensional models (e.g., cylinders, prisms, cones).

Surface and Lateral Areas of Prisms and Cylinders

D.1.1: Understand measurable attributes of objects and the units, systems, and processes of measurement.

D.1.1.1: Understand the concept of volume and use the appropriate units in common measuring systems (e.g., cubic centimeter, cubic inch, cubic yard) to compute the volume of rectangular solids.

Prisms and Cylinders

Pyramids and Cones

D.1.2: Apply appropriate techniques, tools, and formulas to determine measurements.

D.1.2.1: Use ratios and proportions to measure hard-to-measure objects.

D.1.2.3: Use proportional relationships in similar shapes to find missing measurements.

Beam to Moon (Ratios and Proportions)

D.1.2.4: Apply strategies to determine the surface area and volume of prisms, pyramids, and cylinders.

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

D.1.2.5: Perform conversions with multiple terms between metric and U.S. standard measurement systems.

E.1.1: Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.

E.1.1.1: Represent two numerical variables on a plot, describe how the data points are distributed, and identify relationships that exist between the two variables.

Box-and-Whisker Plots

Describing Data Using Statistics

Movie Reviewer (Mean and Median)

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

E.1.1.2: Generate, organize, and interpret real numbers in a variety of situations.

Box-and-Whisker Plots

Describing Data Using Statistics

Stem-and-Leaf Plots

E.1.1.3: Organize, analyze, and display appropriate quantitative and qualitative data to address specific questions including:

E.1.1.3.b: plots

Box-and-Whisker Plots

Stem-and-Leaf Plots

E.1.1.3.c: histograms

Histograms

Real-Time Histogram

Stem-and-Leaf Plots

E.1.1.3.d: bar, line, and pie graphs

Prairie Ecosystem

Reaction Time 1 (Graphs and Statistics)

E.1.1.3.e: diagram and pictorial displays

Box-and-Whisker Plots

Correlation

Stem-and-Leaf Plots

E.1.1.3.f: charts and tables

Describing Data Using Statistics

Stem-and-Leaf Plots

E.1.1.4: Select the appropriate measure of central tendency to describe a set of data for a particular problem situation.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Reaction Time 1 (Graphs and Statistics)

Stem-and-Leaf Plots

E.1.1.6: Develop an appropriate strategy using a variety of data from surveys, samplings, estimations, and inferences to address a specific problem.

Estimating Population Size

Estimating Sums and Differences

Polling: City

E.1.2: Select and use appropriate statistical methods to analyze data.

E.1.2.1: Use changes in scales, intervals, or categories to help support a particular interpretation of data.

E.1.2.2: Generate, organize, and interpret real number and other data in a variety of situations.

Box-and-Whisker Plots

Describing Data Using Statistics

Stem-and-Leaf Plots

E.1.2.3: Analyze data to make decisions and to develop convincing arguments from data displayed in a variety of formats that include:

E.1.2.3.a: plots

E.1.2.3.b: distributions

Box-and-Whisker Plots

Describing Data Using Statistics

Movie Reviewer (Mean and Median)

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

E.1.2.3.d: scatter plots

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

E.1.2.3.e: diagrams

Box-and-Whisker Plots

Correlation

Stem-and-Leaf Plots

E.1.2.3.f: pictorial displays

Box-and-Whisker Plots

Correlation

Stem-and-Leaf Plots

E.1.2.3.h: Venn diagrams

E.1.2.4: Interpret and analyze data from graphical representations and draw simple conclusions (e.g., line of best fit).

Box-and-Whisker Plots

Correlation

Stem-and-Leaf Plots

E.1.2.6: Use appropriate central tendency and spread as a means for effective decision-making in analyzing data and outliers.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

E.1.2.8: Use appropriate technology to display data as lists, tables, matrices, graphs, and plots and to analyze the relationships of variables in the data displayed.

Box-and-Whisker Plots

Correlation

Stem-and-Leaf Plots

E.1.3: Develop and evaluate inferences and predictions that are based on data.

E.1.3.2: Describe how reader bias, measurement errors, and display distortion can affect the interpretation of data, predictions, and inferences based on data.

Box-and-Whisker Plots

Polling: City

Polling: Neighborhood

E.1.3.3: Conduct simple experiments and/or simulations, record results in charts, tables, or graphs, and use the results to draw conclusions and make predictions.

Earthquakes 1 - Recording Station

E.1.4: Understand and apply basic concepts of probability.

E.1.4.2: Design and use an appropriate simulation to estimate the probability of a real-world event (e.g., disk toss, cube toss).

Geometric Probability

Independent and Dependent Events

Theoretical and Experimental Probability

E.1.4.3: Explain the relationship between probability and odds and calculate the odds of a desired outcome in a simple experiment.

Geometric Probability

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

E.1.4.4: Use theoretical or experimental probability to make predictions about real-world events.

Geometric Probability

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

E.1.4.6: Understand that the probability of two unrelated events occurring is the sum of the two individual possibilities and that the probability of one event following another, in independent trials, is the product of the two probabilities.

Independent and Dependent Events

Theoretical and Experimental Probability

Correlation last revised: 1/20/2017