## Holidays

## Math

American Symbols & HolidaysLabor Day Long & Short Kindergarten Math Patterns & Sorting Kindergarten Math Hour/Half-hour Kindergarten Math Measurement First Grade Math Whole Numbers Kindergarten Math Shapes Kindergarten Math ### NM.A. Algebra: Students will understand algebraic concepts and applications.

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

##### 7.A.1.1. Identify and continue patterns presented in a variety of formats.

##### 7.A.1.2. Represent a variety of relationships using tables, graphs, verbal rules, and possible symbolic notation, and recognize the same general pattern presented in different representations.

##### 7.A.1.3. Simplify numerical expressions by applying properties of rational numbers, and justify the process used.

##### 7.A.1.4. Interpret and evaluate expressions involving integer powers and simple roots.

##### 7.A.1.5. Graph and interpret linear functions.

##### 7.A.1.6. Solve problems involving rate, average speed, distance, and time.

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

##### 7.A.2.1. Write verbal expressions and sentences as algebraic expressions and equations:

###### 7.A.2.1.a. Evaluate algebraic expressions

###### 7.A.2.1.b. Solve simple linear equations

##### 7.A.2.2. Use variables and appropriate operations to write an expression, an equation, or an inequality that represents a verbal description.

##### 7.A.2.3. Use the order of operations to evaluate algebraic expressions.

##### 7.A.2.4. Simplify numerical expressions by applying properties of rational numbers.

##### 7.A.2.5. Graph linear functions and identify slope as positive or negative.

##### 7.A.2.6. Use letters as variables in mathematical expressions to describe how one quantity changes when a related quantity changes.

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

##### 7.A.3.2. Understand and use the coordinate plane to graph ordered pairs and linear equations.

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

##### 7.A.4.1. Use variables and appropriate operations to write an expression, an equation, and/or an inequality that represents a verbal description involving change.

##### 7.A.4.2. Interpret and evaluate expressions involving integer powers and simple roots as they relate to change.

##### 7.A.4.3. Graph and interpret linear functions as they are used to solve problems.

##### 7.A.4.4. Solve two-step equations and inequalities with one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results.

### 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.

##### 7.D.1.10. Compute the minimum, lower quartile, median, upper quartile, and maximum of a data set.

##### 7.D.1.12. Use and explain sampling techniques (e.g., observations, surveys, and random sampling) for gathering data.

##### 7.D.1.13. Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information, and selecting, collecting, and displaying appropriate data to address the problem.

##### 7.D.1.2. Select and use appropriate representation for presenting collected data and justify the selection.

##### 7.D.1.3. Use measures of central tendency and spread to describe a set of data.

##### 7.D.1.6. Identify ordered pairs of data from a graph and interpret the data in terms of the situation depicted by the graph.

##### 7.D.1.7. Use various scales and formats to display the same data set.

##### 7.D.1.9. Collect, organize, and represent data sets that have one or more variables and identify relationships among variables within a data set.

#### 5-8.D.2. Select and use appropriate statistical methods to analyze data.

##### 7.D.2.2. Know various ways to display data sets (e.g., stem and leaf plot, box and whisker plot, scatter plots) and use these forms to display a single set of data or to compare two sets of data.

##### 7.D.2.5. Use data samples of a population and describe the characteristics and limitations of the sample.

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

##### 7.D.3.2. Analyze data to make accurate inferences, predictions, and to develop convincing arguments from data displayed in a variety of forms.

##### 7.D.3.3. Approximate a line of best fit for a data set in a scatter plot form and make predictions using the simple equation of that line.

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

##### 7.D.4.1. Determine the probability of a compound event composed of two independent events.

##### 7.D.4.2. Identify examples of events having the probability of one or zero.

##### 7.D.4.3. Describe the probability of events using fractions, decimals, and percents.

##### 7.D.4.4. Express probability as a fraction, zero, or one.

##### 7.D.4.6. Make predictions based on theoretical probabilities of compound events.

##### 7.D.4.7. Determine the probability of a simple event or a compound event composed of a simple, independent 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.

##### 7.G.1.1. Classify geometric figures as similar or congruent.

##### 7.G.1.2. Understand the concept of a constant (e.g., pi) and use the formulas for the circumference and area of a circle.

##### 7.G.1.3. Explain and use the Pythagorean theorem.

##### 7.G.1.4. Determine the radius, diameter, and circumference of a circle and explain their relationship.

##### 7.G.1.5. Use properties to classify solids including pyramids, cones, prisms, and cylinders.

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

##### 7.G.2.1. Construct and use coordinate graphs to plot simple figures, determine lengths and areas related to them, and determine the image under translations and reflections.

#### 5-8.G.3. Apply transformations and use symmetry to analyze mathematical situations.

##### 7.G.3.1. Determine how perimeter and area are affected by changes of scale.

#### 5-8.G.4. Use visualization, spatial reasoning, and geometric modeling to solve problems.

##### 7.G.4.1. Compute the perimeter and area of common geometric shapes and use the results to find measures of less common objects.

##### 7.G.4.2. Identify and describe the properties of two-dimensional figures:

###### 7.G.4.2.a. Identify angles as vertical, adjacent, complementary, or supplementary and provide descriptions of these terms

### 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.

##### 7.M.1.1. Choose appropriate units of measure and ratios to recognize new equivalences (e.g., 1 square yard equals 9 square feet) to solve problems.

##### 7.M.1.2. Select and use the appropriate size and type of unit for a given measurement situation.

##### 7.M.1.5. Use measures expressed as rates and measures expressed as products to solve problems, check the units of the solutions, and analyze the reasonableness of the answer.

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

##### 7.M.2.2. Select and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles.

##### 7.M.2.3. Solve problems involving scale factors, ratios, and proportions.

### 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.

##### 7.N.1.4. Read, write, and compare rational numbers in scientific notation (e.g., positive and negative powers of 10) with approximate numbers using scientific notation.

##### 7.N.1.5. Simplify numerical expressions using order of operations.

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

##### 7.N.2.1. Add, subtract, multiply, and divide rational numbers (e.g., integers, fractions, terminating decimals) and take positive rational numbers to whole-number powers.

##### 7.N.2.2. Convert terminating decimals into reduced fractions.

##### 7.N.2.3. Calculate given percentages of quantities and use them to solve problems (e.g., discounts of sales, interest earned, tips, markups, commission, profit, simple interest).

##### 7.N.2.4. Add and subtract fractions with unlike denominators.

##### 7.N.2.5. Multiply, divide, and simplify rational numbers by using exponent rules.

##### 7.N.2.7. Find square roots of perfect whole-number squares.

##### 7.N.2.8. Simplify and evaluate positive rational numbers raised to positive whole number powers.

##### 7.N.2.9. Solve addition, subtraction, multiplication, and division problems that use positive and negative integers and combinations of these operations.

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

##### 7.N.3.1. Use estimation to check reasonableness of results, and use this information to make predictions in situations involving rational numbers, pi, and simple algebraic equations.

##### 7.N.3.2. Convert fractions to decimals and percents and use these representations in estimations, computations, and applications.

##### 7.N.3.3. Read, write, and compare rational numbers in scientific notation (e.g., positive and negative powers of 10) with approximate numbers using scientific notation.

##### 7.N.3.4. Calculate the percentage of increases and decreases of a quantity.

##### 7.N.3.5. Add and subtract fractions with unlike denominators.

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