Number Operations

A final assessment and review day to track progress towards identifying coins and performing money calculations with 80% accuracy.

Applying both addition and subtraction to multi-step real-world scenarios using a set of interactive scenario cards.

Practicing subtraction skills to calculate change and budget remaining money from a $20 limit.

Introduction to adding money amounts up to $20 using a calculator based on shopping lists and grocery scenarios.

Focuses on identifying the names and values of pennies, nickels, dimes, and quarters through matching and visual aids.

A Kindergarten lesson focused on comparing the length (height) of block towers and determining the difference in length by counting individual block units.

A kindergarten math lesson focused on counting and writing numbers from 1 to 20 using winter-themed objects and scenarios.

Final review and assessment of numeral ID and counting sequences.

Fluency focus on backward sequences across the full 0-120 range.

Advanced number line navigation and relative position (0-120).

Finding missing numbers in various sequences (FNS/BNS).

Mastery of the 100-120 range (the "Peak").

Backward sequences from 100 down to 50.

Forward sequences and numeral identification for numbers 50-100.

Placing and identifying numbers on an open number line (0-50).

Backward sequences across decades (50 down to 20).

Mastering transitions between decades from 20 to 50.

Intensive focus on backward number sequences from 20 down to 10.

Focus on numeral identification and forward sequences for numbers 11-20.

A counting and fine motor activity centered around the New England Patriots logo, challenging students to count and connect numbers up to 200.

A football-themed lesson featuring a complex 1-300 dot-to-dot and a math review based on game stats and scoring.

A kindergarten math lesson focused on counting and writing numbers from 1 to 20 using winter-themed objects and scenarios.

Final review and assessment of numeral ID and counting sequences.

Fluency focus on backward sequences across the full 0-120 range.

Advanced number line navigation and relative position (0-120).

Finding missing numbers in various sequences (FNS/BNS).

Mastery of the 100-120 range (the "Peak").

Backward sequences from 100 down to 50.

Forward sequences and numeral identification for numbers 50-100.

Placing and identifying numbers on an open number line (0-50).

Backward sequences across decades (50 down to 20).

Mastering transitions between decades from 20 to 50.

Intensive focus on backward number sequences from 20 down to 10.

Focus on numeral identification and forward sequences for numbers 11-20.

A counting and fine motor activity centered around the New England Patriots logo, challenging students to count and connect numbers up to 200.

Synthèse de l'apprentissage avec l'exploration du tableau des 100. Identification des régularités (colonnes des unités, lignes des dizaines) pour naviguer dans la grande comptine numérique.

Focus sur le comptage par dizaines (10, 20, 30... 100). Apprentissage des noms des familles (Vingt, Trente, Quarante, etc.) et visualisation de leur structure en barres de 10.

Exploration des nombres de 11 à 20 en utilisant le Numberblock Dix comme base (Dix et un font Onze, etc.), favorisant la compréhension de la dizaine.

A lesson introduced the concept of grouping objects into pairs (twos) using various modes of transportation as visual aids. Students will learn to identify, circle, and count groups of two.

A first-grade math lesson focused on skip counting by 10s starting from any number, using a 100-chart visual and mental math strategies. Includes a gradual release of responsibility model and assessment.

A Kindergarten lesson focused on comparing the length (height) of block towers and determining the difference in length by counting individual block units.

Synthesizes all lab skills to solve word problems and create original equations. Students prove their mastery as Lead Equation Scientists.

Develops strategies for finding an unknown part in an equation. Students use part-whole models to solve for the 'missing component' in both addition and subtraction contexts.

Investigates the inverse relationship between addition and subtraction. Students act as 'researchers' to see how the same three numbers can form four different related equations.

Focuses on the anchor number ten. Students learn to decompose smaller numbers to 'make a ten' as a high-leverage strategy for solving more complex addition and subtraction equations.

Redefines the equals sign as a symbol of balance and 'the same as' rather than 'the answer is.' Students use balance scales to evaluate if equations are true or false.

Establishes the foundational understanding of parts and wholes using visual models. Students learn that two parts join to create a whole, forming the basis for any addition or subtraction equation.

Synthesizes learning by building up to 100, understanding that 10 tens make a hundred.

Uses place value knowledge to compare two-digit numbers, identifying which 'tower' is taller based on tens and then ones.

Investigates the position of digits, helping students distinguish between the value of the tens place and the ones place.

Expands place value understanding to numbers up to 50, focusing on counting large collections by grouping into tens.

Explores teen numbers (11-19) as a bundle of ten and some extra ones, reinforcing the 'ten plus' structure.

Focuses on the transition from counting by ones to unitizing ten as a single group. Students use bundles and frames to see '10' as both ten ones and one ten.

Students will master 3-digit subtraction by using the 'counting back' strategy on a number line, focusing on identifying and jumping to friendly numbers (multiples of 10 and 100).

A Grade 3 math lesson where students manage a bakery to solve multi-step addition and subtraction word problems within 1,000. Students use the CUBES strategy and bar modeling to track inventory and fulfill large orders.

A comprehensive lesson on applying basic math skills to real-world shopping scenarios, featuring differentiated word problems for various ability levels.

A high-energy, Valentine's-themed 'Price is Right' game designed to last up to 120 minutes, covering item pricing, logic, and estimation.

This lesson teaches students how to subtract 3-digit numbers by using the 'add up' strategy on an open number line, visualizing the difference as distance between two points.

A fun, pickle-themed lesson for first graders to practice mixed addition and subtraction within 20. Includes a student worksheet and an answer key.

A lesson focusing on mastering basic addition and subtraction within 20 through repetitive practice and clear number sentences.

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.

A final mastery check and celebration of learning where students solve a series of progressive fraction division tasks.

Students create their own division stories and models to demonstrate a deep understanding of the concept.

Students solve complex, multi-step word problems involving fraction division in real-world contexts.

Students formalize the 'invert and multiply' algorithm and practice its application across various problem types.

Students explore the relationship between dividing by a fraction and multiplying by its reciprocal using visual proofs.

Students develop number sense by estimating whether a quotient will be greater than or less than 1 before solving.

Students apply the common denominator strategy to divide fractions with unlike denominators by creating equivalent fractions first.

Students discover that dividing fractions with the same denominator is as simple as dividing their numerators.

A comprehensive review of computational fluency with decimals and rational number concepts.

Applying coordinate plane skills to solve geometry problems and map-based tasks.

Understanding how signs change across axes and recognizing points as reflections of one another.

Identifying and plotting points in all four quadrants of the coordinate plane using ordered pairs.

Ordering rational numbers and writing inequality statements to represent real-world comparisons.

Defining absolute value as magnitude and distance from zero, regardless of direction.

Placing positive and negative rational numbers (fractions and decimals) on a horizontal and vertical number line.

Introducing negative numbers as opposites and using them to represent real-world scenarios like temperature and elevation.

Finding greatest common factors and least common multiples to solve real-world grouping problems.

Focuses on dividing multi-digit decimals using the standard algorithm, specifically handling decimal divisors.

Focuses on multiplying multi-digit decimals with a focus on place value and the standard algorithm.

Focuses on adding and subtracting multi-digit decimals using the standard algorithm, set within a budget-tracking context.

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 lesson focused on mastering the US standard algorithm for subtraction up to the hundred thousands place using structured place value organizers. Students practice regrouping and maintaining alignment through visual grids.

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.

Cumulative review and a 'Division Derby' game to celebrate progress and demonstrate mastery.

Solving multi-step real-world problems that require multiple division or multiplication steps.

Dividing decimals by decimals by using powers of 10 to create equivalent expressions with whole-number divisors.

Extending division to decimals by dividing a decimal by a whole number using place value reasoning.

Analyzing word problems to determine how to interpret remainders: rounding up, dropping, or using as a fraction.

Applying the partial quotients method to division problems with two-digit divisors.

Using estimation and rounding to find reasonable starting points when dividing by two-digit numbers.

Refining the partial quotients method to handle larger three-digit dividends with one-digit divisors efficiently.

Using place value patterns to divide by multiples of 10, 100, and 1,000, focusing on the movement of digits.

Introduction to the partial quotients method (The Big 7) as a way to decompose dividends into friendly chunks.

Students connect division to multiplication by finding missing side lengths in area models, reinforcing division as the inverse of multiplication.

Students explore division through the lens of 'how many groups' and 'how many in each group' using area models and base-ten representations.

A comprehensive math lesson focusing on practical life skills: budgeting for multiple items and mastering ratio identification and simplification. This lesson integrates real-world shopping scenarios with structured mathematical organizers.

A final assessment and review day to track progress towards identifying coins and performing money calculations with 80% accuracy.

Applying both addition and subtraction to multi-step real-world scenarios using a set of interactive scenario cards.

Practicing subtraction skills to calculate change and budget remaining money from a $20 limit.

Introduction to adding money amounts up to $20 using a calculator based on shopping lists and grocery scenarios.

Focuses on identifying the names and values of pennies, nickels, dimes, and quarters through matching and visual aids.

A week-long series of activities focused on identifying math operations in word problems, counting mixed coins, and determining if a purchase is affordable within a budget. Includes a teacher guide, graphic organizers, and practice worksheets themed around a neighborhood corner store.

A football-themed lesson featuring a complex 1-300 dot-to-dot and a math review based on game stats and scoring.

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 final mastery check and celebration of learning where students solve a series of progressive fraction division tasks.

Students create their own division stories and models to demonstrate a deep understanding of the concept.

Students solve complex, multi-step word problems involving fraction division in real-world contexts.

Students formalize the 'invert and multiply' algorithm and practice its application across various problem types.

Students explore the relationship between dividing by a fraction and multiplying by its reciprocal using visual proofs.

Students develop number sense by estimating whether a quotient will be greater than or less than 1 before solving.

Students apply the common denominator strategy to divide fractions with unlike denominators by creating equivalent fractions first.

Students discover that dividing fractions with the same denominator is as simple as dividing their numerators.