Curriculum Framework

NO.1.1: Relate, with and without models and pictures, concepts of ratio, proportion, and percent, including percents less than 1 and greater than 100

Beam to Moon (Ratios and Proportions)

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

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

Proportions and Common Multipliers

NO.1.2: Demonstrate, with and without appropriate technology, an understanding of place value using powers of 10 and write numbers greater than one in scientific notation

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

NO.1.3: Convert between scientific notation and standard notation using numbers greater than one.

Unit Conversions 2 - Scientific Notation and Significant Digits

NO.1.5: Compare and represent integers, fractions, decimals and mixed numbers and find their approximate location on a number line

Adding Fractions (Fraction Tiles)

Adding on the Number Line

Comparing and Ordering Decimals

Fraction Garden (Comparing Fractions)

Fractions Greater than One (Fraction Tiles)

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

Toy Factory (Set Models of Fractions)

NO.2.2: Apply the addition, subtraction, multiplication and division properties of equality to onestep equations with integers, fractions, and decimals

Solving Algebraic Equations II

NO.2.3: Apply rules (conventions) for order of operations to integers and positive rational numbers including parentheses, brackets or exponents

NO.2.4: Model and develop addition, subtraction, multiplication and division of integers

Adding and Subtracting Integers

Adding on the Number Line

Addition of Polynomials

NO.3.1: Compute, with and without appropriate technology, with integers and positive rational numbers using real-world situations to solve problems

Adding on the Number Line

Dividing Mixed Numbers

Improper Fractions and Mixed Numbers

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

NO.3.3: Determine when an Estimate is sufficient and use Estimation to decide whether answers are reasonable in problems including fractions and decimals

Estimating Sums and Differences

NO.3.4: Apply factorization, LCM, and GCF to solve problems using more than two numbers and explain the solution

Finding Factors with Area Models

NO.3.5: Represent and solve problem situations that can be modeled by and solved using concepts of absolute value, exponents and square roots (for perfect squares) with and without appropriate technology

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Rational Numbers, Opposites, and Absolute Values

Square Roots

NO.3.6: Solve, with and without technology, real world percent problems

Percents, Fractions, and Decimals

A.4.1: Create and complete a function table (input/output) using a given rule with two operations

Function Machines 1 (Functions and Tables)

Function Machines 3 (Functions and Problem Solving)

A.4.2: Identify and extend patterns in real world situations

Arithmetic Sequences

Finding Patterns

Geometric Sequences

A.5.1: Solve and graph one-step linear equations and inequalities using a variety of methods (i.e., hands-on, inverse operations, symbolic) with real world application with and without technology

Compound Inequalities

Linear Inequalities in Two Variables

Point-Slope Form of a Line

Solving Equations by Graphing Each Side

Standard Form of a Line

A.5.2: Solve simple linear equations using integers and graph on a coordinate plane

A.5.3: Translate phrases and sentences into algebraic expressions and equations including parentheses and positive and rational numbers and simplify algebraic expressions by combining like terms

Addition of Polynomials

Improper Fractions and Mixed Numbers

Multiplying with Decimals

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Equations on the Number Line

G.8.1: Identify, draw, classify and compare geometric figures using models and real world examples

G.8.2: Investigate geometric properties and their relationships in one, two and three dimensions models, including convex and concave polygons

G.8.3: Recognize the pairs of angles formed and the relationship between the angles including two intersecting lines and parallel lines cut by a transversal (vertical, supplementary, complementary, corresponding, alternate interior, alternate exterior angles and

G.8.4: Use paper or physical models to determine the sum of the measures of interior angles of triangles and quadrilaterals

G.8.6: Develop the properties of similar figures (ratio of sides and congruent angles)

G.9.1: Examine the congruence, similarity, and line or rotational symmetry of objects using transformations

Circles

Dilations

Holiday Snowflake Designer

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

G.9.2: Perform translations and reflections of two-dimensional figures using a variety of methods (paper folding, tracing, graph paper)

Holiday Snowflake Designer

Rock Art (Transformations)

G.10.1: Plot points in the coordinate plane

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Points in the Coordinate Plane

Slope

G.11.1: Build three-dimensional solids from two-dimensional patterns (nets)

Surface and Lateral Areas of Prisms and Cylinders

M.12.2: Understand relationships among units within the same system

M.12.3: Find different areas for a given perimeter and find a different perimeter for a given area

Circumference and Area of Circles

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

M.13.1: Solve real world problems involving two or more elapsed times, counting forward and backward (calendar and clock)

M.13.4: Derive and use formulas for surface area and volume of prisms and cylinders and justify them using geometric models and common materials

Surface and Lateral Areas of Prisms and Cylinders

M.13.5: Apply properties (scale factors, ratio, and proportion) of congruent or similar triangles to solve problems involving missing lengths and angle measures

M.13.7: Estimate and compute the area of more complex or irregular two-dimensional shapes by dividing them into more basic shapes

Area of Triangles

Fido's Flower Bed (Perimeter and Area)

DAP.14.1: Identify different ways of selecting samples and compose appropriate questions

Describing Data Using Statistics

Movie Reviewer (Mean and Median)

Reaction Time 2 (Graphs and Statistics)

DAP.14.2: Explain which types of display are appropriate for various data sets (line graph for change over time, circle graph for part-to-whole comparison, scatter plot for trends)

Correlation

Elevator Operator (Line Graphs)

Graphing Skills

DAP.14.3: Construct and interpret circle graphs, box-and-whisker plots, histograms, scatter plots and double line graphs with and without appropriate technology

Box-and-Whisker Plots

Correlation

Distance-Time Graphs

Elevator Operator (Line Graphs)

Graphing Skills

Histograms

Prairie Ecosystem

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Sight vs. Sound Reactions

Solving Using Trend Lines

Stem-and-Leaf Plots

Trends in Scatter Plots

DAP.15.1: Analyze data displays, including ways that they can be misleading

Graphing Skills

Polling: City

Populations and Samples

Reaction Time 2 (Graphs and Statistics)

DAP.15.2: Analyze, with and without appropriate technology, a set of data by using and comparing measures of central tendencies (mean, median, mode) and measures of spread (range, quartile, interquartile range)

Describing Data Using Statistics

Movie Reviewer (Mean and Median)

Populations and Samples

Reaction Time 2 (Graphs and Statistics)

DAP.17.1: Understand that probability can take any value between 0 and 1 (events that are not going to occur have probability 0, events certain to occur have probability 1)

Geometric Probability

Independent and Dependent Events

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

Correlation last revised: 5/8/2018