7th Grade Level I | Hesten's Learning

Module 1

Math Standards & Skills - Module 1

Comprehensive academic competencies for 7th Grade aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Standards for Mathematical Practice (7.MP)

Topic A Honors Achieved!

All skills in Standards for Mathematical Practice (7.MP) completed or mastered!

MP.1 Make sense of problems and persevere in solving them.

MP.2 Reason abstractly and quantitatively.

MP.3 Construct viable arguments and critique the reasoning of others.

MP.4 Model with mathematics.

MP.5 Use appropriate tools strategically.

MP.6 Attend to precision.

MP.7 Look for and make use of structure.

MP.8 Look for and express regularity in repeated reasoning.

Ratios and Proportional Relationships (7.RP)

Topic B Honors Achieved!

All skills in Ratios and Proportional Relationships (7.RP) completed or mastered!

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.2 Recognize and represent proportional relationships between quantities.

7.RP.A.2a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

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.

7.RP.A.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

The Number System (7.NS)

Topic C Honors Achieved!

All skills in The Number System (7.NS) completed or mastered!

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.1a Describe situations in which opposite quantities combine to make 0.

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 real-world 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 real-world contexts.

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 real-world contexts.

7.NS.A.2b 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 describing real-world contexts.

7.NS.A.2c Apply properties of operations as strategies to multiply and divide 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 real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.)

Module 2

Math Standards & Skills - Module 2

Comprehensive academic competencies for 7th Grade aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Expressions and Equations (7.EE)

Topic D Honors Achieved!

All skills in Expressions and Equations (7.EE) completed or mastered!

7.EE.A.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

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.B.3 Solve multi-step real-life 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.B.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

7.EE.B.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.B.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.

Geometry (7.G)

Topic E Honors Achieved!

All skills in Geometry (7.G) completed or mastered!

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 two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

7.G.B.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.B.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

7.G.B.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Statistics and Probability (7.SP)

Topic F Honors Achieved!

All skills in Statistics and Probability (7.SP) completed or mastered!

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.B.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.C.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.C.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.

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

Module 1

Ela Standards & Skills - Module 1

Comprehensive academic competencies for 7th Grade aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Reading Literature & Informational Text (RL.7 / RI.7)

RL.7.1 / RI.7.1 Cite several pieces of textual evidence to support analysis of what the text says explicitly as well as inferences drawn from the text.

RL.7.2 Determine a theme or central idea of a text and analyze its development over the course of the text; provide an objective summary.

RL.7.3 Analyze how particular elements of a story or drama interact (e.g., how setting shapes the characters or plot).

RI.7.8 Trace and evaluate the argument and specific claims in a text, assessing whether the reasoning is sound and the evidence is relevant and sufficient to support the claims.

RI.7.9 Analyze how two or more authors writing about the same topic shape their presentations of key information by emphasizing different evidence or advancing different interpretations of facts.

Writing Standards (W.7)

W.7.1 Write arguments to support claims with clear reasons and relevant evidence; acknowledge alternate or opposing claims; organize reasons logically; establish and maintain a formal style.

W.7.2 Write informative/explanatory texts to examine a topic and convey ideas through the selection, organization, and analysis of relevant content.

W.7.7 Conduct research projects to answer a question, drawing on several sources and generating additional related, focused questions for further research and investigation.

Language Standards (L.7)

L.7.1 Demonstrate command of grammar: explain the function of phrases and clauses; choose among simple, compound, complex, and compound-complex sentences to signal differing relationships among ideas.

L.7.2 Use a comma to separate coordinate adjectives (e.g., It was a fascinating, enjoyable book).

L.7.5 Demonstrate understanding of figurative language, word relationships, and nuances in word meanings (allusions, connotations).

Module 1

Science Standards & Skills - Module 1

Comprehensive academic competencies for 7th Grade aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

From Molecules to Organisms: Structures and Processes (MS-LS1)

MS-LS1-1 Conduct an investigation to provide evidence that living things are made of cells; either one cell or many different numbers and types of cells.

MS-LS1-2 Develop and use a model to describe the function of a cell as a whole and ways parts of cells contribute to the function (organelles).

MS-LS1-3 Use argument supported by evidence for how the body is a system of interacting subsystems composed of cells, tissues, organs, and organ systems.

MS-LS1-6 Construct a scientific explanation based on evidence for the role of photosynthesis in the cycling of matter and flow of energy into and out of organisms.

MS-LS1-7 Develop a model to describe how food is rearranged through chemical reactions forming new molecules that support growth and/or release energy (cellular respiration).

Heredity: Inheritance and Variation of Traits (MS-LS3)

MS-LS3-1 Develop and use a model to describe why structural changes to genes (mutations) located on chromosomes may affect proteins and may result in harmful, beneficial, or neutral effects to the structure and function of the organism.

MS-LS3-2 Develop and use a model to describe why asexual reproduction results in offspring with identical genetic information and sexual reproduction results in offspring with genetic variation.

Biological Evolution: Unity and Diversity (MS-LS4)

MS-LS4-2 Apply scientific ideas to construct an explanation for the anatomical similarities and differences among modern organisms and between modern and fossil organisms to infer evolutionary relationships.

MS-LS4-4 Construct an explanation based on evidence that describes how genetic variations of traits in a population increase some individuals' probability of surviving and reproducing in a specific environment (natural selection).

Module 1

Social Standards & Skills - Module 1

Comprehensive academic competencies for 7th Grade aligned with national frameworks.

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Module 1

Math Standards & Skills - Module 1

Standards for Mathematical Practice (7.MP)

Ratios and Proportional Relationships (7.RP)

The Number System (7.NS)

Module 2

Math Standards & Skills - Module 2

Expressions and Equations (7.EE)

Geometry (7.G)

Statistics and Probability (7.SP)

Module 1

Ela Standards & Skills - Module 1

Reading Literature & Informational Text (RL.7 / RI.7)

Writing Standards (W.7)

Language Standards (L.7)

Module 1

Science Standards & Skills - Module 1

From Molecules to Organisms: Structures and Processes (MS-LS1)

Heredity: Inheritance and Variation of Traits (MS-LS3)

Biological Evolution: Unity and Diversity (MS-LS4)

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Module 1

Math Standards & Skills - Module 1

Standards for Mathematical Practice (7.MP)

Ratios and Proportional Relationships (7.RP)

The Number System (7.NS)

Module 2

Math Standards & Skills - Module 2

Expressions and Equations (7.EE)

Geometry (7.G)

Statistics and Probability (7.SP)

Module 1

Ela Standards & Skills - Module 1

Reading Literature & Informational Text (RL.7 / RI.7)

Writing Standards (W.7)

Language Standards (L.7)

Module 1

Science Standards & Skills - Module 1

From Molecules to Organisms: Structures and Processes (MS-LS1)

Heredity: Inheritance and Variation of Traits (MS-LS3)

Biological Evolution: Unity and Diversity (MS-LS4)

Module 1

Social Standards & Skills - Module 1

Civics: Feudalism, Theocracies, and Empires (D2.Civ.7)

Geography: Trans-Saharan & Maritime Diffusion (D2.Geo.7)

History: The Renaissance, Reformation, and Colombian Exchange (D2.His.7)