Grade 7 Common Core Math Curriculum
Grade 7 Common Core Math Curriculum 
Listed below are Math quizzes for 7th grade students based on the Common Core Math State Standards.For grade level assignments, we adhere to the Common Core State Standards Initiative's curriculum, in addition to considering other course curriculums such as GCSE(UK), Singapore Math, Australian and Indian Math curriculums. These courses will help students to perform well in local and major international competitions such as the Science Bee, Math Olympiad, American Mathematics Competition and so on. In grade 7, the focus is on four critical areas, namely 1) understanding and applying proportional relationships 2) operations with rational numbers and working with expressions and linear equations 3) solving scale drawings, geometric constructions, and two and threedimensional shapes to solve area and volume problems 4) drawing inferences about populations based on samples For more information, read 7th Grade Common Core Math Standards Some of the mathematical practices that will be covered are:

Grade 7: Ratios and Proportional Relationships 
You will use your previous understanding of ratios that you learned in the 6th grade and now apply them to solving proportionality problems that involve either single or multistep. You will be solving percent problems including those involving discounts, interest, taxes, tips, and percent increase or decrease. You will be solving problems about scale drawings by relating corresponding lengths between the objects. You will be using the fact that relationships of lengths within an object are preserved in similar objects. You will graph proportional relationships and understand the unit rate informally as a measure of the steepness of the related line, called the slope. You will be able to distinguish proportional relationships from other relationships. 
7.RP.A.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. 
7.RP.A.2A Recognize and represent proportional relationships between quantities. 
7.RP.A.2B Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. 
7.RP.A.2C Represent proportional relationships by equations. 
7.RP.A.2D Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

Interpret Graphs for Proportions 
7.RP.A.3 Use proportional relationships to solve multistep ratio and percent problems. 
Grade 7: The Number System 
You will develop a unified understanding of number, recognizing fractions, decimals (that have a finite or a repeating decimal representation), and percents as different representations of rational numbers. You will extend addition, subtraction, multiplication, and division to all rational numbers, maintaining the properties of operations and the relationships between addition and subtraction, and multiplication and division. By applying these properties, and by viewing negative numbers in terms of everyday contexts (e.g., amounts owed or temperatures below zero), you should be able to explain and interpret the rules for adding, subtracting, multiplying, and dividing with negative numbers. You will use the arithmetic of rational numbers as you formulate expressions and equations in one variable and use these equations to solve problems. 
7.NS.A.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. 
7.NS.A.1B Understand p + q as the number located a distance q from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing realworld contexts. 
7.NS.A.1C Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in realworld contexts. 
Convert Subtraction Expression Into Addition Expression 
Find Equivalent Expressions for Expressions with Negative Numbers 
7.NS.A.1D Apply properties of operations as strategies to add and subtract rational numbers. 
7.NS.A.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.. 
7.NS.A.2A Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing realworld contexts. 
7.NS.A.2B Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing realworld contexts. 
7.NS.A.2C Apply properties of operations as strategies to multiply and divide rational numbers. 
Strategies to Divide and Multiply Rational Numbers 
7.NS.A.2D Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats. 
7.NS.A.3 Solve realworld and mathematical problems involving the four operations with rational numbers. 
Grade 7: Expressions and Equations 
Here, you will use the arithmetic of rational numbers as you formulate expressions and equations in one variable and use these equations to solve problems. 
7.EE.A.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

Strategies to Add, Subtract, Factor, and Expand Linear Expressions 
7.EE.A.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. 
7.EE.A.3 Solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate, and assess the reasonableness of answers using mental computation and estimation strategies. 
7.EE.A.4 Use variables to represent quantities in a realworld or mathematical problem and construct simple equations and inequalities to solve problems by reasoning about the quantities. 
7.EE.A.4A Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. 
7.EE.A.4B Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. 
Solve Inequalities of the Form px+ q < r 
Grade 7: Geometry 
Here, you will continue your work with area from Grade 6, solving problems involving the area and circumference of a circle and surface area of threedimensional objects. In preparation for work on congruence and similarity in Grade 8 you will reason about relationships among twodimensional figures using scale drawings and informal geometric constructions, and you will gain familiarity with the relationships between angles formed by intersecting lines. You will work with threedimensional figures, relating them to twodimensional figures by examining crosssections. You will solve realworld and mathematical problems involving area, surface area, and volume of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes and right prisms. 
7.G.A.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. 
7.G.A.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. 
7.G.A.3 Describe the twodimensional figures that result from slicing threedimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. 
7.G.A.4 Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.. 
7.G.A.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multistep problem to write and solve simple equations for an unknown angle in a figure.

7.G.A.6 Solve realworld and mathematical problems involving area, volume and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Grade 7: Statistics and Probability 
You will build on your previous work with single data distributions to compare two data distributions and address questions about differences between populations. You will begin informal work with random sampling to generate data sets and learn about the importance of representative samples for drawing inferences. 
7.SP.A.1 Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. 
7.SP.A.2 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. 
7.SP.B.3 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. 
7.SP.A.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. 
7.SP.A.5 Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

7.SP.A.6 Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its longrun relative frequency, and predict the approximate relative frequency given the probability.

7.SP.A.7 Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.

7.SP.A.7A Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.

7.SP.A.7B Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.


7.SP.A.8 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

Determine Probability of Compound Events 
7.SP.A.8A Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.

7.SP.A.8B Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose the event.

7.SP.A.8C Design and use a simulation to generate frequencies for compound events.
