## Math

Shapes Fourth Grade Math Plot Points Fifth Grade Math Measurement Fourth Grade Math Exponential & Scientific Notation Fifth Grade Math Rounding Numbers Fourth Grade Math Whole Numbers to Millions Fifth Grade Math Measurement Fourth Grade Math **Area**Worksheets: 3Study Guides: 1**Area of Triangles and Quadrilaterals**Worksheets: 3Study Guides: 1Vocabulary: 2**Commutative/Associative Properties**Worksheets: 4Study Guides: 1**Distributive Property**Worksheets: 3Study Guides: 1**Evaluate Exponents**Worksheets: 3Study Guides: 1**Exponents**Worksheets: 3Study Guides: 1**Exponents to Repeated Multiplication**Worksheets: 3Study Guides: 1**Multiplication**Worksheets: 3Study Guides: 1**One & Two Step Equations**Worksheets: 3Study Guides: 1**Repeated Multiplication to Exponents**Worksheets: 3Study Guides: 1**Volume**Worksheets: 3Study Guides: 1**Whole Numbers to Trillions**Worksheets: 3Study Guides: 1### NM.A. Algebra: Students will understand algebraic concepts and applications.

#### 5-8.A.1. Understand patterns, relations, and functions.

##### 6.A.1.1. Solve problems involving proportional relationships.

##### 6.A.1.2. Graph ordered pairs in the coordinate plane.

##### 6.A.1.3. Explain and use symbols to represent unknown quantities and variable relationships.

##### 6.A.1.4. Explain and use the relationships among ratios, proportions, and percents.

#### 5-8.A.2. Represent and analyze mathematical situations and structures using algebraic symbols.

##### 6.A.2.1. Solve problems involving proportional relationships.

##### 6.A.2.2. Use letters to represent an unknown in an equation.

##### 6.A.2.3. Solve one-step linear equations and inequalities in one variable with positive whole-number solutions.

##### 6.A.2.4. Demonstrate that a variable can represent a single quantity that changes.

#### 5-8.A.3. Use mathematical models to represent and understand quantitative relationships.

##### 6.A.3.1. Develop and use mathematical models to represent and justify mathematical relationships found in a variety of situations.

##### 6.A.3.2. Create, explain, and use mathematical models such as:

###### 6.A.3.2.b. Equations and inequalities to model numerical relationships

#### 5-8.A.4. Analyze changes in various contexts.

##### 6.A.4.1. Represent and explain changes using one-step equations with one variable.

##### 6.A.4.2. Solve problems that involve change using proportional relationships.

##### 6.A.4.3. Use ratios to predict changes in proportional situations.

##### 6.A.4.4. Use tables and symbols to represent and describe proportional and other relationships involving conversions, sequences, and perimeter.

##### 6.A.4.5. Generate formulas to represent relationships involving changes in perimeter.

### NM.D. Data Analysis and Probability: Students will understand how to formulate questions, analyze data, and determine probabilities.

#### 5-8.D.1. Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.

##### 6.D.1.1. Use statistical representations to analyze data.

##### 6.D.1.11. Formulate and solve problems by collecting, organizing, displaying, and interpreting data.

##### 6.D.1.3. Use mean, median, mode, and range to describe data.

##### 6.D.1.4. Sketch circle graphs to display data.

##### 6.D.1.5. Solve problems by collecting, organizing, displaying and interpreting data.

##### 6.D.1.8. Determine the median for a rational number data set containing an odd number of data points.

##### 6.D.1.9. Calculate and explain the median for a whole number data set containing an even number of data points.

#### 5-8.D.3. Develop and evaluate inferences and predictions that are based on data.

##### 6.D.3.2. Conduct observations, surveys, experiments and/or simulations, record the results in charts, tables, or graphs, and use the results to draw conclusions and make predictions.

##### 6.D.3.3. Find all possible combinations in a given set (e.g., the number of ways a set of books can be arranged on a shelf).

##### 6.D.3.4. Compare expected results with actual results in a simple experiment.

#### 5-8.D.4. Understand and apply basic concepts of probability.

##### 6.D.4.1. List all possible outcomes for a compound event composed of two independent events and recognize whether an outcome is certain, impossible, likely, or unlikely.

##### 6.D.4.2. Determine and compare experimental (empirical) and mathematical (theoretical) probabilities (e.g., flipping two color counters).

##### 6.D.4.3. Determine theoretical and experimental probabilities and use them to make predictions about events.

##### 6.D.4.4. Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome.

##### 6.D.4.6. Represent probabilities as ratios, proportions, decimals between 0 and 1, and percentages between 0 and 100 and verify that the probabilities computed are reasonable; know that if P is the probability of an event, 1- P is the probability of the event not occurring.

##### 6.D.4.7. Describe the difference between independent and dependent events and identify situations involving independent or dependent events.

### NM.G. Geometry: Students will understand geometric concepts and applications.

#### 5-8.G.1. Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematics arguments about geometric relationships.

##### 6.G.1.1. Identify, describe, and classify the properties of, and the relationships between, plane and solid geometric figures:

###### 6.G.1.1.a. Measure, identify, and draw angles, perpendicular and parallel lines, rectangles, and triangles by using appropriate tools (e.g., straightedge, ruler, compass, protractor, drawing software)

##### 6.G.1.2. Classify angles as right, obtuse, or straight.

##### 6.G.1.3. Describe the properties of geometric figures that include regular polygons, circles, ellipses, cylinders, cones, spheres, and cubes.

##### 6.G.1.4. Classify polygons as regular or irregular.

##### 6.G.1.6. Identify angle, line, segment, and ray and use the symbols for each.

##### 6.G.1.7. Describe the relationship between radius, diameter, and circumference of a circle.

#### 5-8.G.2. Specify locations and describe spatial relationships using coordinate geometry and other representational systems.

##### 6.G.2.1. Use coordinate geometry to describe location on a plane.

### NM.M. Measurement: Students will understand measurement systems and applications.

#### 5-8.M.1. Understand measurable attributes of objects and the units, systems, and processes of measurement.

##### 6.M.1.1. Perform multi-step conversions of measurement units to equivalent units within a given system (e.g., 36 inches equals 3 feet or 1 yard).

##### 6.M.1.3. Select and use units of appropriate size and type to measure angles (e.g., degrees, radians), perimeter, area, and capacity in both U.S. customary and metric systems.

##### 6.M.1.4. Use standard units of linear measurement to the nearest sixteenth of an inch; metric measurements to the nearest millimeter.

#### 5-8.M.2. Apply appropriate techniques, tools, and formulas to determine measurements.

##### 6.M.2.1. Apply various measurement techniques and tools, units of measure, and degrees of accuracy to find accurate rational number representations for length, liquid, weight, perimeter, temperature, and time.

##### 6.M.2.2. Select and use formulas for perimeters of squares and rectangles.

##### 6.M.2.4. Select and justify the selection of measurement tools, units of measure, and degrees of accuracy appropriate to the given situation.

### NM.N. Numbers and Operations: Students will understand numerical concepts and mathematical operations.

#### 5-8.N.1. Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

##### 6.N.1.1. Compare and order rational numbers.

##### 6.N.1.2. Use equivalent representations for rational numbers (e.g., integers, decimals, fractions, percents, ratios, numbers with whole-number exponents).

##### 6.N.1.4. Identify greatest common factor and least common multiples for a set of whole numbers.

#### 5-8.N.2. Understand the meaning of operations and how they relate to one another.

##### 6.N.2.2. Factor a whole number into a product of its primes.

##### 6.N.2.3. Demonstrate the relationship and equivalency among ratios and percents.

##### 6.N.2.4. Use proportions to solve problems.

##### 6.N.2.5. Explain and perform:

###### 6.N.2.5.a. Whole number division and express remainders as decimals or appropriately in the context of the problem

###### 6.N.2.5.b. Addition, subtraction, multiplication, and division with decimals

###### 6.N.2.5.c. Addition and subtraction with integers

###### 6.N.2.5.d. Addition, subtraction, and multiplication with fractions and mixed numerals

##### 6.N.2.6. Determine the least common multiple and the greatest common divisor of whole numbers and use them to solve problems with fractions.

#### 5-8.N.3. Compute fluently and make reasonable estimates.

##### 6.N.3.1. Estimate quantities involving rational numbers using various estimations.

##### 6.N.3.2. Use estimates to check reasonableness of results and make predictions in situations involving rational numbers.

##### 6.N.3.4. Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line.

##### 6.N.3.5. Convert fractions to decimals and percents and use these representations in estimations, computations, and applications.

##### 6.N.3.6. Interpret and use ratios in different contexts.

##### 6.N.3.7. Compute and perform multiplication and division of fractions and decimals and apply these procedures to solving problems.

### NewPath Learning resources are fully aligned to US Education Standards. Select a standard below to view correlations to your selected resource: