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 nth 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