1: The student uses mathematical processes to acquire and demonstrate mathematical understanding.

1.A: apply mathematics to problems arising in everyday life, society, and the workplace;

Estimating Population Size

1.B: use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;

Estimating Population Size

1.C: select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;

Estimating Sums and Differences

1.D: communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;

Biconditional Statements
Graphing Skills
Using Algebraic Expressions

1.E: create and use representations to organize, record, and communicate mathematical ideas;

Describing Data Using Statistics
Graphing Skills
Stem-and-Leaf Plots
Using Algebraic Expressions

1.G: display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

Using Algebraic Expressions

3: The student applies mathematical process standards to add, subtract, multiply, and divide while solving problems and justifying solutions.

3.A: add, subtract, multiply, and divide rational numbers fluently; and

Adding Fractions (Fraction Tiles)
Adding and Subtracting Integers
Adding on the Number Line
Dividing Fractions
Dividing Mixed Numbers
Equivalent Algebraic Expressions I
Estimating Sums and Differences
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Improper Fractions and Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

3.B: apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers.

Adding Fractions (Fraction Tiles)
Adding and Subtracting Integers
Adding on the Number Line
Dividing Fractions
Dividing Mixed Numbers
Estimating Sums and Differences
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Improper Fractions and Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

4: The student applies mathematical process standards to represent and solve problems involving proportional relationships.

4.A: represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt;

Cat and Mouse (Modeling with Linear Systems)
Distance-Time Graphs
Earthquakes 1 - Recording Station
Elevator Operator (Line Graphs)
Point-Slope Form of a Line
Road Trip (Problem Solving)

4.B: calculate unit rates from rates in mathematical and real-world problems;

Household Energy Usage
Road Trip (Problem Solving)

4.C: determine the constant of proportionality (k = y/x) within mathematical and real-world problems;

Direct and Inverse Variation

4.D: solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems; and

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Household Energy Usage
Part-to-part and Part-to-whole Ratios
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Proportions and Common Multipliers
Real-Time Histogram
Road Trip (Problem Solving)
Time Estimation

4.E: convert between measurement systems, including the use of proportions and the use of unit rates.

Unit Conversions

5: The student applies mathematical process standards to use geometry to describe or solve problems involving proportional relationships.

5.A: generalize the critical attributes of similarity, including ratios within and between similar shapes;

Beam to Moon (Ratios and Proportions)
Circles
Similar Figures
Similarity in Right Triangles

5.B: describe ? as the ratio of the circumference of a circle to its diameter; and

Circumference and Area of Circles

5.C: solve mathematical and real-world problems involving similar shape and scale drawings.

Similar Figures

6: The student applies mathematical process standards to use probability and statistics to describe or solve problems involving proportional relationships.

6.A: represent sample spaces for simple and compound events using lists and tree diagrams;

Independent and Dependent Events
Permutations and Combinations
Theoretical and Experimental Probability

6.B: select and use different simulations to represent simple and compound events with and without technology;

Geometric Probability
Independent and Dependent Events

6.C: make predictions and determine solutions using experimental data for simple and compound events;

Independent and Dependent Events
Probability Simulations

6.D: make predictions and determine solutions using theoretical probability for simple and compound events;

Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

6.E: find the probabilities of a simple event and its complement and describe the relationship between the two;

Theoretical and Experimental Probability

6.F: use data from a random sample to make inferences about a population;

Polling: City
Polling: Neighborhood
Populations and Samples

6.G: solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents;

Graphing Skills
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

6.H: solve problems using qualitative and quantitative predictions and comparisons from simple experiments; and

Independent and Dependent Events
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

6.I: determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces.

Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

8: The student applies mathematical process standards to develop geometric relationships with volume.

8.A: model the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas;

Pyramids and Cones

8.C: use models to determine the approximate formulas for the circumference and area of a circle and connect the models to the actual formulas.

Circumference and Area of Circles

9: The student applies mathematical process standards to solve geometric problems.

9.A: solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids;

Prisms and Cylinders
Pyramids and Cones

9.B: determine the circumference and area of circles;

Circumference and Area of Circles

9.C: determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles; and

Area of Triangles
Fido's Flower Bed (Perimeter and Area)

9.D: solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net.

Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

10: The student applies mathematical process standards to use one-variable equations and inequalities to represent situations.

10.A: write one-variable, two-step equations and inequalities to represent constraints or conditions within problems;

Linear Inequalities in Two Variables
Solving Equations on the Number Line
Solving Two-Step Equations

10.B: represent solutions for one-variable, two-step equations and inequalities on number lines; and

Absolute Value Equations and Inequalities
Compound Inequalities
Exploring Linear Inequalities in One Variable
Solving Equations on the Number Line

11: The student applies mathematical process standards to solve one-variable equations and inequalities.

11.A: model and solve one-variable, two-step equations and inequalities;

Absolute Value Equations and Inequalities
Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations I
Solving Algebraic Equations II
Solving Equations on the Number Line
Solving Two-Step Equations

11.B: determine if the given value(s) make(s) one-variable, two-step equations and inequalities true; and

Exploring Linear Inequalities in One Variable

11.C: write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships.

Triangle Angle Sum

12: The student applies mathematical process standards to use statistical representations to analyze data.

12.A: compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads;

Box-and-Whisker Plots
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

12.B: use data from a random sample to make inferences about a population; and

Polling: City
Polling: Neighborhood
Populations and Samples

12.C: compare two populations based on data in random samples from these populations, including informal comparative inferences about differences between the two populations.

Polling: City
Polling: Neighborhood
Populations and Samples

13: The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor.

13.B: identify the components of a personal budget, including income; planned savings for college, retirement, and emergencies; taxes; and fixed and variable expenses, and calculate what percentage each category comprises of the total budget;

Road Trip (Problem Solving)

13.C: create and organize a financial assets and liabilities record and construct a net worth statement;

Household Energy Usage
Percent of Change

13.E: calculate and compare simple interest and compound interest earnings; and

Compound Interest

13.F: analyze and compare monetary incentives, including sales, rebates, and coupons.

Household Energy Usage
Percent of Change