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Standards for Mathematical Practices
Standards for Mathematical Practices
MP.1. Make sense of problems and persevere in solving them.
Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems.
KY.7.RP.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. (MP.2, MP.6)
KY.7.RP.2. Recognize and represent proportional relationships between quantities. (MP.1, MP.2, MP.3)
KY.7.RP.2.b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams and verbal descriptions of proportional relationships.
Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply and divide rational numbers.
KY.7.NS.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. (MP.2, MP.4, MP.7)
KY.7.NS.1.a. Describe situations in which opposite quantities combine to make 0.
KY.7.NS.1.b. 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 numbe
KY.7.NS.1.c. 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 real-world contexts.
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
KY.7.NS.2. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. (MP.2, MP.7, MP.8)
KY.7.NS.2.a. 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 m
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
KY.7.NS.2.b. Understand that integers can be divided, provided that the divisor is not zero and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q)=(–p)/q=p/(–q). Interpret quotients of rational numbers by desc
Cluster: Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
KY.7.EE.3. Solve real-life and mathematical problems posed with positive and negative rational numbers in any form, using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the
KY.7.EE.4. Use variables to represent quantities in a real-world or mathematical problem and construct equations and inequalities to solve problems by reasoning about the quantities. (MP.2, MP.4)
KY.7.EE.4.a. 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. Graph the solution set of the equality and interpret it in context of the problem.
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
KY.7.EE.4.b. Solve word problems leading to inequalities of the form px+q>r, px+q<r, px+q≥r, px+q≤r; where p, q and r are specific rational numbers. Graph the solution set of the inequality and interpret it in context of the problem.
Cluster: Use properties of operations to generate equivalent expressions.
KY.7.EE.1. Apply properties of operations as strategies to add, subtract, factor and expand linear expressions with rational coefficients. (MP.2, MP.3)
KY.7.G.6. Solve problems involving area of two-dimensional objects and surface area and volume of three-dimensional objects. (MP.3, MP.4, MP.5)
KY.7.G.6.b. Solve real-world and mathematical problems involving volume and surface area, using nets as needed, of three-dimensional objects including cubes, pyramids and right prisms.
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
Cluster: Draw, construct and describe geometrical figures and describe the relationships between them.
KY.7.G.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. (MP.1, MP.2, MP.5)
Cluster: Investigate chance processes and develop, use and evaluate probability models.
KY.7.SP.5. Describe the probability of a chance event is a number between 0 and 1, which tells how likely the event is, from impossible (0) to certain (1). A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither
KY.7.SP.6. Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency and predict the approximate relative frequency given the probability. (MP.1, MP.2)
KY.7.SP.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. (MP.4, MP.7, MP.8)
KY.7.SP.7.a. Develop a uniform probability model by assigning equal probability to all outcomes and use the model to determine probabilities of events.
KY.7.SP.8. Find probabilities of compound events using organized lists, tables, tree diagrams and simulation. (MP.2, MP.4, MP.7)
KY.7.SP.8.a. Explain 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.
Cluster: Use random sampling to draw inferences about a population.
KY.7.SP.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 rand