Algebra

A culminating challenge where students use all their 'architect' skills to solve a mixed set of equation and inequality problems.

Students write inequalities to represent real-life limits like speed, budget, and capacity, connecting math to everyday constraints.

Students learn to represent inequalities on number lines, understanding the meaning of open vs. closed circles and 'infinitely many' solutions.

Introduces inequality symbols and the concept of constraints, helping students recognize that some problems have a range of solutions.

Students apply their equation-solving skills to complex multi-step real-world scenarios, selecting the appropriate operation to build their solution.

Explores division equations as finding the total when the size of parts is known, using visual models to bridge to the algebraic solution.

Students represent and solve px = q equations using tape diagrams, focusing on the relationship between multiplication and equal groups.

Students solve subtraction equations by 'undoing' the removal of a value, using number lines and balance models to justify their steps.

Focuses on solving equations of the form x + p = q using visual bar models and the concept of inverse operations to maintain balance.

Students learn to translate real-world scenarios into algebraic expressions, identifying the variable as the unknown architect of the problem.

Students use substitution to determine which values from a given set make an equation true, shifting from 'calculating' to 'verifying' solutions.

Students explore the concept of equality using a balance scale model to understand that an equation is a statement of balance between two expressions.

A comprehensive review and summative lab assessment of all multiplication and division properties covered in the unit.

Analyzing real-world scenarios to determine which property tool is best suited for solving specific multiplication and division problems.

Applying property knowledge to solve for unknown variables and find missing factors in equations.

Exploring the 'Invisible Rules' of multiplication: the Identity Property (x1) and the Zero Property (x0).

Learning how to use the Commutative and Associative properties together to reorder and regroup factors for easier multiplication.

Applying the Distributive Property to solve multiplication problems mentally by splitting numbers into tens and ones.

Using area models to visualize the Distributive Property, showing how large rectangles can be broken into smaller ones for easier calculation.

Introduction to the Distributive Property as the 'Break-Apart Tool', focusing on splitting one factor into two smaller addends.

A comprehensive review and summative lab assessment of all multiplication and division properties covered in the unit.

Analyzing real-world scenarios to determine which property tool is best suited for solving specific multiplication and division problems.

Applying property knowledge to solve for unknown variables and find missing factors in equations.

Exploring the 'Invisible Rules' of multiplication: the Identity Property (x1) and the Zero Property (x0).

Learning how to use the Commutative and Associative properties together to reorder and regroup factors for easier multiplication.

Applying the Distributive Property to solve multiplication problems mentally by splitting numbers into tens and ones.

Using area models to visualize the Distributive Property, showing how large rectangles can be broken into smaller ones for easier calculation.

Introduction to the Distributive Property as the 'Break-Apart Tool', focusing on splitting one factor into two smaller addends.

Strategically regrouping factors to find 'friendly numbers' (like multiples of 10) using the Associative Property.

Introducing the Associative Property of Multiplication as the 'Grouping Gear', focusing on how changing the grouping of factors doesn't change the product.

Using the Commutative Property to simplify expressions with larger numbers and identifying commutative patterns in multiplication and division.

Introduction to the Commutative Property of Multiplication as the 'Switch Tool', showing that the order of factors does not change the product.

Writing, graphing, and interpreting inequalities on a number line.

Modeling real-world problems using one-step equations and identifying dependent and independent variables.

Using inverse operations to solve one-step multiplication and division equations.

Using inverse operations to solve one-step addition and subtraction equations.

Developing a conceptual understanding of equality using a balance scale model.

Identifying and combining like terms through categorization and visual grouping.

Using area models to visualize and apply the distributive property to create equivalent expressions.

Focus on the process of substitution and evaluating expressions for specific variable values.

A culminating challenge where students use all their 'architect' skills to solve a mixed set of equation and inequality problems.

Students write inequalities to represent real-life limits like speed, budget, and capacity, connecting math to everyday constraints.

Students learn to represent inequalities on number lines, understanding the meaning of open vs. closed circles and 'infinitely many' solutions.

Introduces inequality symbols and the concept of constraints, helping students recognize that some problems have a range of solutions.

Students apply their equation-solving skills to complex multi-step real-world scenarios, selecting the appropriate operation to build their solution.

Explores division equations as finding the total when the size of parts is known, using visual models to bridge to the algebraic solution.

Students represent and solve px = q equations using tape diagrams, focusing on the relationship between multiplication and equal groups.

Students solve subtraction equations by 'undoing' the removal of a value, using number lines and balance models to justify their steps.

Focuses on solving equations of the form x + p = q using visual bar models and the concept of inverse operations to maintain balance.

Students learn to translate real-world scenarios into algebraic expressions, identifying the variable as the unknown architect of the problem.

Students use substitution to determine which values from a given set make an equation true, shifting from 'calculating' to 'verifying' solutions.

Students explore the concept of equality using a balance scale model to understand that an equation is a statement of balance between two expressions.

Writing, graphing, and interpreting inequalities on a number line.

Modeling real-world problems using one-step equations and identifying dependent and independent variables.

Using inverse operations to solve one-step multiplication and division equations.

Using inverse operations to solve one-step addition and subtraction equations.

Developing a conceptual understanding of equality using a balance scale model.

Identifying and combining like terms through categorization and visual grouping.

Using area models to visualize and apply the distributive property to create equivalent expressions.

Focus on the process of substitution and evaluating expressions for specific variable values.

A tiered assignment covering TEKS A.4(A-C) focusing on correlation, causation, and linear regression. Students progress through three levels of complexity to master data analysis skills.

A comprehensive lesson on graphing linear equations using slope-intercept form, featuring a technical blueprint theme to help 8th-grade students master the coordinate plane.

A comprehensive 1.5-hour practice session covering ratio reduction, proportion types, properties of equal ratios, and continued proportion for Grade 9 students.

A comprehensive final assessment for Algebra 1 covering linear equations, systems, exponents, polynomials, and quadratic functions. Includes free response and graphing sections to evaluate deep understanding.

Students will apply their knowledge of comparisons and tables to solve multi-step real-world factory production problems.

Students will identify and describe relationships between number pairs in a table using multiplication and addition rules.

Students will learn to describe multiplication expressions as comparisons (e.g., 3 times as much as 5) using visual bar models and factory scenarios.

A 9th-grade algebra lesson where students act as 'secret agents' to decode patterns in tables and translate them into algebraic function rules. Students will transition from intuitive pattern recognition to formal equation writing.

A comprehensive lesson on translating between tables, graphs, and verbal descriptions to construct linear equations in slope-intercept form. Students act as 'Equation Architects' to build mathematical models of real-world scenarios.

A comprehensive 20-question practice test and answer key designed to prepare students for the TSIA2 Mathematics assessment, focusing on algebraic, geometric, and statistical reasoning.

Students learn to model business costs using linear equations and graphs. They define fixed and variable costs through a video case study and apply these concepts to a custom sneaker business scenario.

Students explore linear relationships through a business lens, graphing revenue and cost to identify the 'Sweet Spot' of maximum profit using marginal analysis.

A 10th-grade math lesson that bridges coordinate geometry with economics. Students interpret and construct line graphs (demand curves) and analyze how non-price factors cause parallel shifts in the graph.

Students explore the intersection of 8th-grade linear graphing and economics by plotting sneaker supply and demand data. They will interpret positive and negative slopes to understand market forces and identify equilibrium points.

Students bridge the gap between Algebra 1 slope-intercept form and Physics motion equations, learning to transform $y=mx+b$ into $d_f=vt+d_0$ through the lens of world-record sprinting and everyday movement.

Students will master the relationship between speed, distance, and time by solving real-world scheduling challenges for a variety of commuters. The lesson uses visual data and video segments to demonstrate how motion prediction is essential for daily life.

Students will learn to calculate x and y intercepts algebraically from linear equations in standard form using the 'Cover-Up' method and substitution. This lesson includes a visual hook, a targeted video segment, and a challenge extension involving non-integer intercepts.

A support-focused algebra lesson where students transition from identifying intercepts visually to 'reverse engineering' graphs from given x and y intercepts. The lesson uses a drafting/blueprint theme to engage students in the 'construction' of mathematical lines and curves.

Students will learn to define and identify x and y intercepts on linear graphs through a 'scouting' theme, using visual analysis and coordinate pair notation.

A lesson for 8th Grade Algebra I students to discover that the slope of a line is constant between any two points. Includes a video-based hook, a collaborative graphing investigation, and a challenge on scaling slopes.

A culminating challenge where students use all their 'architect' skills to solve a mixed set of equation and inequality problems.

Students write inequalities to represent real-life limits like speed, budget, and capacity, connecting math to everyday constraints.

Students learn to represent inequalities on number lines, understanding the meaning of open vs. closed circles and 'infinitely many' solutions.

Introduces inequality symbols and the concept of constraints, helping students recognize that some problems have a range of solutions.

Students apply their equation-solving skills to complex multi-step real-world scenarios, selecting the appropriate operation to build their solution.

Explores division equations as finding the total when the size of parts is known, using visual models to bridge to the algebraic solution.

Students represent and solve px = q equations using tape diagrams, focusing on the relationship between multiplication and equal groups.

Students solve subtraction equations by 'undoing' the removal of a value, using number lines and balance models to justify their steps.

Focuses on solving equations of the form x + p = q using visual bar models and the concept of inverse operations to maintain balance.

Students learn to translate real-world scenarios into algebraic expressions, identifying the variable as the unknown architect of the problem.

Students use substitution to determine which values from a given set make an equation true, shifting from 'calculating' to 'verifying' solutions.

Students explore the concept of equality using a balance scale model to understand that an equation is a statement of balance between two expressions.

A targeted intervention session providing differentiated pathways for students based on their mastery of domain and range: enrichment projects, error analysis, and foundational reteaching.

A culminating challenge where students use all their 'architect' skills to solve a mixed set of equation and inequality problems.

Students write inequalities to represent real-life limits like speed, budget, and capacity, connecting math to everyday constraints.

Students learn to represent inequalities on number lines, understanding the meaning of open vs. closed circles and 'infinitely many' solutions.

Introduces inequality symbols and the concept of constraints, helping students recognize that some problems have a range of solutions.

Students apply their equation-solving skills to complex multi-step real-world scenarios, selecting the appropriate operation to build their solution.

Explores division equations as finding the total when the size of parts is known, using visual models to bridge to the algebraic solution.

Students represent and solve px = q equations using tape diagrams, focusing on the relationship between multiplication and equal groups.

Students solve subtraction equations by 'undoing' the removal of a value, using number lines and balance models to justify their steps.

Focuses on solving equations of the form x + p = q using visual bar models and the concept of inverse operations to maintain balance.

Students learn to translate real-world scenarios into algebraic expressions, identifying the variable as the unknown architect of the problem.

Students use substitution to determine which values from a given set make an equation true, shifting from 'calculating' to 'verifying' solutions.

Students explore the concept of equality using a balance scale model to understand that an equation is a statement of balance between two expressions.

Writing, graphing, and interpreting inequalities on a number line.

Modeling real-world problems using one-step equations and identifying dependent and independent variables.

Using inverse operations to solve one-step multiplication and division equations.

Using inverse operations to solve one-step addition and subtraction equations.

Developing a conceptual understanding of equality using a balance scale model.

Identifying and combining like terms through categorization and visual grouping.

Using area models to visualize and apply the distributive property to create equivalent expressions.

Focus on the process of substitution and evaluating expressions for specific variable values.

A culminating challenge where students use all their 'architect' skills to solve a mixed set of equation and inequality problems.

Students write inequalities to represent real-life limits like speed, budget, and capacity, connecting math to everyday constraints.

Students learn to represent inequalities on number lines, understanding the meaning of open vs. closed circles and 'infinitely many' solutions.

Introduces inequality symbols and the concept of constraints, helping students recognize that some problems have a range of solutions.

Students apply their equation-solving skills to complex multi-step real-world scenarios, selecting the appropriate operation to build their solution.

Explores division equations as finding the total when the size of parts is known, using visual models to bridge to the algebraic solution.

Students represent and solve px = q equations using tape diagrams, focusing on the relationship between multiplication and equal groups.

Students solve subtraction equations by 'undoing' the removal of a value, using number lines and balance models to justify their steps.

Focuses on solving equations of the form x + p = q using visual bar models and the concept of inverse operations to maintain balance.

Students learn to translate real-world scenarios into algebraic expressions, identifying the variable as the unknown architect of the problem.

Students use substitution to determine which values from a given set make an equation true, shifting from 'calculating' to 'verifying' solutions.

Students explore the concept of equality using a balance scale model to understand that an equation is a statement of balance between two expressions.

A comprehensive review and summative lab assessment of all multiplication and division properties covered in the unit.

Analyzing real-world scenarios to determine which property tool is best suited for solving specific multiplication and division problems.

Applying property knowledge to solve for unknown variables and find missing factors in equations.

Exploring the 'Invisible Rules' of multiplication: the Identity Property (x1) and the Zero Property (x0).

Learning how to use the Commutative and Associative properties together to reorder and regroup factors for easier multiplication.

Applying the Distributive Property to solve multiplication problems mentally by splitting numbers into tens and ones.

Using area models to visualize the Distributive Property, showing how large rectangles can be broken into smaller ones for easier calculation.

Introduction to the Distributive Property as the 'Break-Apart Tool', focusing on splitting one factor into two smaller addends.

A targeted intervention session providing differentiated pathways for students based on their mastery of domain and range: enrichment projects, error analysis, and foundational reteaching.

A modified geometry lesson focused exclusively on translations, featuring visual aids, simplified language, and scaffolded practice for high school students.

A comprehensive lesson on graphing linear equations using slope-intercept form, featuring a technical blueprint theme to help 8th-grade students master the coordinate plane.

A comprehensive final assessment for Algebra 1 covering linear equations, systems, exponents, polynomials, and quadratic functions. Includes free response and graphing sections to evaluate deep understanding.

A 30-minute Tier 2 intervention lesson focused on graphing two-variable linear inequalities on a 4-quadrant coordinate plane, emphasizing boundary lines and half-plane shading.

A comprehensive lesson on graphing Sine and Cosine functions, featuring guided notes, instructional slides, and a detailed answer key. Students will learn to identify amplitude, period, midline, and phase shifts to accurately sketch periodic graphs.

A comprehensive introduction to parent functions and their transformations, designed for Algebraic Reasoning students to master shifts, stretches, and reflections.

A lesson designed to help English learners practice TELPAS speaking skills while comparing the solutions and characteristics of quadratic functions.

A comprehensive lesson on variables, covering identification, simplification, solving multi-step equations, and graphing. Includes visual aids and collaborative task cards.

A comprehensive lesson on translating between tables, graphs, and verbal descriptions to construct linear equations in slope-intercept form. Students act as 'Equation Architects' to build mathematical models of real-world scenarios.

Students learn to model business costs using linear equations and graphs. They define fixed and variable costs through a video case study and apply these concepts to a custom sneaker business scenario.

Students will learn to solve systems of linear equations by finding the equilibrium point between supply and demand curves. This lesson bridges algebra and economics through graphical and algebraic methods using the 'FrostBite' game console context.

Students explore linear relationships through a business lens, graphing revenue and cost to identify the 'Sweet Spot' of maximum profit using marginal analysis.