M1: Numbers and Operation

M1.A: Students will understand and demonstrate a sense of what numbers mean and how they are used.

M1.A.1: Read, compare, order, use, and represent fractions, decimals, and percents and convert among different numeral forms (limited to terminating decimals for decimal to fraction conversion) and apply concepts of integers, absolute value and positive exponents.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Integers
Comparing and Ordering Rational Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents and Proportions
Percents, Fractions and Decimals
Real Number Line - Activity A

M1.A.3: Apply concepts of ratios in practical or other mathematical situations.

Estimating Population Size
Geometric Probability - Activity A
Part:Part and Part:Whole Ratios
Polling: Neighborhood
Similar Figures - Activity A

M1.B: Students will understand and demonstrate computation skills (no calculator use for straight computation and numbers used in this section should match those listed for Standard A).

M1.B.1: Compute and model all four operations with whole numbers, fractions (including mixed numerals), decimals, and percents applying order of operations and do straight computation with these numbers and operations.

Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Order of Operations
Percents and Proportions
Sums and Differences with Decimals

M1.B.2: Create, solve, and justify the solution for multi-step, real-life problems with whole numbers, fractions (including mixed numerals), decimals, and percents.

Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Simple and Compound Interest
Sums and Differences with Decimals

M2: Shape and Size

M2.E: Students will understand and apply concepts from geometry.

M2.E.3: Use a coordinate system to define and locate position.

Points in the Coordinate Plane - Activity A

M2.F: Students will understand and demonstrate measurement skills.

M2.F.1: Perform conversions between pairs within the following groups: inches, feet, yards, and miles; millimeters, centimeters, meters, and kilometers; cups, pints, quarts, and gallons; milliliters and liters; ounces, pounds and tons; grams and kilograms; seconds, minutes, hours, days, weeks, months, and years.

Elapsed Time

M2.F.2: Solve problems involving unit price, speed and direct measures.

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs

M2.F.3: Given formulas from which to choose, find areas and perimeters of 2-D shapes (includes circles), and volumes of rectangular solids with rational numbers with correct units.

Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Rectangle: Perimeter and Area

M3: Mathematical Decision Making

M3.C: Students will understand and apply concepts of data analysis.

M3.C.1: Organize data and analyze patterns and trends in data using modes, medians, means and ranges for sets of data (emphasis on comparing sets begins). Data displays include lists, tables, frequency distributions, line plots, bar graphs or stem and leaf plots.

Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Populations and Samples
Solving Using Trend Lines
Stem-and-Leaf Plots

M3.D: Students will understand and apply concepts of probability.

M3.D.1: Find the probability of simple events and express the probability as a fraction or a percentage (percentages limited to multiples of 10% and 25%).

Compound Independent Events
Compound Independent and Dependent Events
Estimating Population Size
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

M3.D.4: Apply the idea of permutation in a problem situation with 6 elements or fewer (e.g., how many ways can the four letters in the word "math" be arranged?).

Permutations and Combinations

M4: Patterns

M4.G: Students will understand that mathematics is the science of patterns, relationships, and functions.

M4.G.1: Translate real-life linear situations into equations (limited to one step).

Using Algebraic Equations
Using Algebraic Expressions

M4.G.3: Solve problems involving linear patterns in the form of tables, graphs, words, rules or equations using rational numbers (including signed values).

Arithmetic Sequences
Arithmetic and Geometric Sequences
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Linear Functions
Using Tables, Rules and Graphs

M4.H: Students will understand and apply algebraic concepts.

M4.H.1: Evaluate formulas with no more than 3 variables using the computation specified in M1B1.7.

Perimeter, Circumference, and Area - Activity B

M4.H.4: Graph inequality statements on a number line.

Compound Inequalities
Inequalities Involving Absolute Values
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

M4.H.6: Solve two-step equations using integers and positive rational numbers.

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Two-Step Equations

M4.K: Students will reflect upon and clarify their understanding of mathematical ideas and relationships.

M4.K.2: Read and use statistics, tables, and graphs to communicate ideas and information. Data displays include lists, tables, frequency distributions, line plots, bar graphs, stem and leaf plots or 1st quadrant scatterplots and line graphs and pie charts/circle graphs (read only).

Describing Data Using Statistics
Line Plots
Populations and Samples
Scatter Plots - Activity A
Stem-and-Leaf Plots