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, (halves, thirds, fourths, fifths, sixths, eighths and tenths with all numerators); and compare, order, use and represent decimals to thousandths and convert between decimals and percentages.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Rational Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents, Fractions and Decimals

M1.A.3: Recognize and apply concepts of prime and composite numbers and use divisibility rules for 2, 3, 4, 5, 6, 9 and 10; and recognize and find factors and multiples of natural numbers.

Finding Factors with Area Models

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, common fractions and decimals to thousandths, and do straight computation with these numbers and operations. Division limited to 2-digit whole number divisors and 3- digit dividends.

Adding Real Numbers
Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

M1.B.2: Create, solve, and justify the solution for multi-step, real-life problems with whole numbers, common fractions and decimals to thousandths, with division limited to 2-digit whole number divisors and 3-digit dividends.

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

M2: Shape and Size

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

M2.E.1: Use properties/ attributes (limited to number of sides, number of angles, and length of sides, lines of symmetry, parallel sides, perpendicular sides, and angles relative to 90¡) to classify polygons; and to compare and classify rectangular prisms, including cubes; and triangular prisms and draw 2- dimensional shapes.

Classifying Quadrilaterals - Activity A
Classifying Triangles
Holiday Snowflake Designer
Prisms and Cylinders - Activity A
Surface and Lateral Area of Prisms and Cylinders

M2.E.3: Use ordered pairs as coordinates of points in the first quadrant of a coordinate plane.

Points in the Coordinate Plane - Activity A

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

M2.F.1: Perform conversions between inches, feet and yards; seconds, minutes and hours; pounds and ounces; and cups, pints, quarts and gallons.

Elapsed Time

M2.F.2: Solve problems involving direct measures of length, distance, elapsed time, temperature, capacity, mass and weight.

Elapsed Time

M2.F.3: Compute the area and perimeter of triangles and rectangles with whole numbers (formula use), and find the volume of rectangular solids using pictures of blocks or gridded diagram with correct units.

Area of Parallelograms - Activity A
Classifying Triangles
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 to find modes, medians, means and ranges for sets of data and displays: Data displays include frequency distributions, tables, line plots, or bar graphs (e.g., given a bar graph, determine the mode, median, range and mean).

Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Populations and Samples

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

M3.D.1: Find the probabilities of simple events and represent them as fractions (simplest form not needed).

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: Find the number of arrangements of 3 factors with no more than 4 choices per factor (e.g., tree diagram, organized list, pictures).

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 situations into addition, subtraction, multiplication, and division sentences with whole numbers (mix of operations included).

Adding and Subtracting Integers
Using Algebraic Equations
Using Algebraic Expressions

M4.G.3: Solve problems involving linear patterns in the form of tables, graphs, words, rules and equations using whole numbers, decimals to hundredths and simple fractions.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Distance-Time Graphs
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 M1B1.6.

Perimeter, Circumference, and Area - Activity B

M4.H.6: Solve one-step equations using whole numbers with all four operations.

Adding and Subtracting Integers
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 frequency distributions, tables, line plots, histograms or bar graphs and pie charts/circle graphs (read only).

Describing Data Using Statistics
Histograms
Line Plots
Mean, Median and Mode
Populations and Samples