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# Browse results: Mathematics

RESULTS 1-80 OF 80

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## From Patterns of Input and Output to Algebraic Equations

Students explore the relationship between input and output values and learn to use algebraic expressions and equations.

4-8

Lesson Plan

## Addition of Decimal Numbers and a Common Error

Students practice carefully lining up decimal places while calculating sums of decimals that total more than one.

4-7

Lesson Plan

## Balancing Number Sentences to Introduce Missing Values

Students learn about balancing equations and keeping an equation balanced by adding/subtracting the same amount to both sides of the equation. Students solve missing value problems and justify their solutions.

3-6

Lesson Plan

## Basketball as a Context for Percentages

Students learn to associate simple fractions (25%, 50%, 75% as well as 20% and multiples) of wholes with equivalent percentages in the context of basketball scores and stadium capacity.

5-8

Lesson Plan

## Building Venn Diagrams

Students utilize Venn diagrams in an introduction to prime numbers, prime factorization and determining least common multiple (LCM) and greatest common factor (GCF).

4-8

Lesson Plan

## Calculating Elapsed Time

Students practice the concept of time passage by counting, subtracting and regrouping in base 60.

2-5

Lesson Plan

## Catching a Kidnapper

The students learn about body matches and measuring one part of the body using another body part. They learn about non-standard measures and relative measurement.

2-5

Lesson Plan

## Counting and Place Value

Students explore counting through the concept of place value in our base-10 numeration system. They practice grouping in groups of ten and groups of ten tens.

2-5

Lesson Plan

## Counting into the Ten-thousands

Students are introduced to place value into the 10,000s through the use of an abacus. They practice writing and recognizing large numbers.

3-6

Lesson Plan

## Creating Equal Shares

Students practice fractions by sharing certain numbers of objects among different numbers of people. They begin with unit fractions and move to sharing multiple objects among multiple people, in which a < b, and to produce fractions less than one.

3-6

Lesson Plan

## Data Clusters and Distributions

Students learn about statistics through the use of surveys. They also learn to examine the shape of data including data clusters, the range, and typical values.

3-6

Lesson Plan

## Defining, Describing and Calculating Rate

Students explore their prior knowledge of rate and extend it to create tables of values coordinating time and distance. They learn how to examine distance-time graphs and how to calculate unit rates.

5-8

Lesson Plan

## Describing Range and Measures of Central Tendency in Shoe Sizes

Students are introduced to various measures of central tendency (range, mode, median, and mean) and they explore the advantages and disadvantages of each measure.

5-8

Lesson Plan

## Determining Rates from Graphs

Students learn about and practice calculating rates (positive, negative and zero) using data from graphs.

4-8

Lesson Plan

## Diagnosing Allergies through Data Collection

Students practice data collection by gathering data within the classroom on common causes of allergies. They examine and interpret data charts on national trends in allergies.

4-7

Lesson Plan

## Elapsed Time and Scheduling

Students practice time management by making their own schedules. They learn to calculate elapsed time in both digital and analog formats.

3-6

Lesson Plan

## Equivalent Fractions as a Means to Compare

Students learn to create equivalent fractions between fifths and tenths (and then some other denominations) as a means to compare fractions of like denominators.

3-6

Lesson Plan

## Estimating Distance and Time

Students learn to estimate the time it takes to travel different distances based on an estimation of the time it takes to travel a part of the whole route. This reinforces basic fractional/ratio thinking, as well as early multiplication as repeated addition.

3-5

Lesson Plan

## Estimating Profit from a Job

Students learn about estimation and rounding and practice rounding with decimal points.

5-8

Lesson Plan

## Estimation

Students practice their estimation skills by estimating time and numbers of objects in situations in which counting is not feasible or necessary.

3-6

Lesson Plan

## Exploring Number Patterns to Discover Common Factors

Students explore different repeating patterns to predict when two or more events will occur at the same time. They are encouraged to create patterns and draw conclusions.

3-6

Lesson Plan

## Exponential Growth Introduced

Harry and his friend make a wager on a game of chess.

5-8

Lesson Plan

## Factors, Arrays and Commutativity

Students look at different arrangements of desks, discuss the number of factor pairs and relate this to the commutative property of multiplication. They learn why they must try factors up to the square root of a number.

5-8

Lesson Plan

## Filmmaking on a Budget

Students practice column addition in relation to budgets and are asked to create budgets that meet particular totals.

3-5

Lesson Plan

## Finding Averages as Means

Students explore the concept of "the mean" as they examine and compare scores for various sports events.

4-7

Lesson Plan

## Fitness Evaluated Using Rate

Students study rate and learn to fill in missing values in order to keep a constant rate.  They also learn to distinguish graphs of rate versus time and graphs of quantity versus time.

5-8

Lesson Plan

## Gears and Proportions

Students learn about proportions and ratios through learning about the gears on a bike.

5-8

Lesson Plan

## Get Me to the Premiere on Time

Students solve simple speed and distance problems as a means to develop a generalization of the distance equation d=rt. Assessments examine whether students can solve equivalent forms of the equation for different variables.

4-8

Lesson Plan

## Graphing in Quadrant 1 in the Coordinate Plane

Students are introduced to graphing on the coordinate plane, in the first quadrant, using (x, y) coordinates.

4-7

Lesson Plan

## How Clocks Work

Students are exposed to a variety of time pieces as well as the elements necessary to keep track of time.

2-5

Lesson Plan

## Identifying 2-D and 3-D Shapes in Crystals

Students practice identifying two-dimensional and three-dimensional shapes and have the opportunity to create a three-dimensional shape from a cutout.

3-5

Lesson Plan

## The Importance of Patterns

Students are introduced to several geometric shapes, patterns of geometric shapes and numbers and patterns of beats that make up rhythms.

3-6

Lesson Plan

## Improper to Proper Fraction Conversions

Students study improper and proper fractions and learn to convert improper fractions to mixed numbers and vice versa.

4-7

Lesson Plan

## Intercepting Villains Using the Correct Rate

Students learn about calculating rate and practice solving the equation d=rt for different variables.

4-8

Lesson Plan

## Introducing Decimals and Simple Decimal Addition

Students are asked to recognize the equivalence of fractional tenths and decimals and to do simple decimal addition to find lengths both shorter and longer than 1.

3-6

Lesson Plan

## Introducing Non-Unit Fractions and Equivalence

Students interpret fractions in which the denominator describes the number of equal parts and the numerator describes how many of those parts one has. They are also introduced to naming equivalent fractions by dividing a circle.

3-5

Lesson Plan

## Introduction to Angle Measure

Students are introduced to angles, learn their definitions, how to name them, and the idea of measuring angles. They also learn the number of degrees in a circle, a half-circle and a quarter circle.

3-6

Lesson Plan

## Introduction to Comparing Fractions by Using Percents

Students are introduced to percents as a way to compare fractions with unlike denominators.

4-7

Lesson Plan

## Introduction to Negative Numbers

Students are introduced to the concept of negative numbers through simple equations and the use of a number line that is extended beyond zero in the negative (left) direction.

4-8

Lesson Plan

## Inverses as a Form of Undoing

Students learn about inverse operations and how to write the inverse of a sequence of operations. They practice by solving two-step equations and checking their solutions.

5-8

Lesson Plan

## Investigating Tessellations Filling 2-D Space

Students explore tessellating, the arrangement of shapes that can fill a plane with no overlaps or gaps.

2-5

Lesson Plan

## Learning to Distinguish Numerators and Denominators

Students learn to recognize representations of fractions as well as identify numerators and denominators, understand the relationship between the number of parts into which a whole is divided, and the number of those parts that are present

3-5

Lesson Plan

## Line Graphs Showing Change Over Time

Students learn to read and interpret increasing and decreasing line graphs. They apply what they learn by "creating stories" for a variety of curve shapes.

3-6

Lesson Plan

## Linking Number Patterns and Algebraic Expressions

Students practice using algebraic expressions by recording data from a video segment in which two staircases ascend at different rates. They record the patterns in two-column tables, draw line graphs and write simple algebraic relations.

5-8

Lesson Plan

## Locating and Ordering Equivalent Fractions on the Number Line

Students find ways to share different-sized items equally between 2 people as well as to find equivalent fractions on a number line and to order those fractions by size.

3-6

Lesson Plan

## Measure and Measure

Students learn why non-standard measures can be useful even when measurements must be precise. They practice measuring using non-standard measures.

3-6

Lesson Plan

## Measuring Area

Students calculate the areas of polygonal figures. They use hash marks to create square units and to count the units, including half-units.

3-6

Lesson Plan

## Measuring Object Length on a Number Line

Students learn to measure from the zero mark and are taught to measure objects that are not aligned with the zero mark by creating a number sentence using subtraction.

4-7

Lesson Plan

## Multiplication as Combinations

Students learn to systematically identify all possible combinations, first among 2 objects with 3 possibilities each and then among 3 objects with 2, 2 and 4 possibilities each.

3-6

Lesson Plan

## Multiplication as Replication

Students build tables and use patterns as an introduction to multiplication. They are encouraged to use multiplication by 10 or 100 for larger values as the beginnings of commutativity and distribution are introduced.

2-5

Lesson Plan

## Multiplication by 10

Students practice multiplying by 10 by adjusting a recipe to be 10 times larger. They examine the results to learn the procedure of adding a 0 to the multiplicand when multiplying by 10. They also practice dividing by 10 in the same manner.

3-6

Lesson Plan

## Multiplying Fractions of the Form a/b of c

Students study fractions and practice writing arithmetic sentences using multiplication and specific proportions.

5-8

Lesson Plan

## Paying Attention to Scale

Students create bar graphs and analyze the different scales of the two bar graphs.

3-6

Lesson Plan

## Percentage of Populations with Diabetes

Students learn about percentages in relation to the study of diabetes. They look at a nutrition label and apply various skills to answering questions about the label.

5-8

Lesson Plan

## Perimeter and Area Together

Students recognize that rectangles can have the same perimeters but different areas. They are asked to calculate the perimeters and areas of different rectangles and understand the concept of maximum area.

4-7

Lesson Plan

## Planning a Budget

Students practice column addition and lining up decimal points in the context of money while they watch a video segment. Assessments provide more practice adding numbers in columns, and students troubleshoot an error in misaligned decimal addition.

3-5

Lesson Plan

## Plotting Pairs of Coordinate Points in All Four Quadrants to Construct Lines

Students learn about and practice graphing, plotting points, drawing line segments, and finding the coordinates of points of intersection.

5-8

Lesson Plan

## Probability and Fairness

Students are introduced to the concept of probability through problems concerning fairness in games and the odds of winning or losing a game of chance.

4-7

Lesson Plan

## Probability and the Law of Large Numbers

Students learn about probability and the law of large numbers. Through increasingly large trial sizes, students witness the way in which results get closer and closer to 50%.

4-7

Lesson Plan

## Properties of Circles

Students practice circle geometry by learning to draw a perfect circle using a radius and finding the center of a circle by folding it into quarters.

3-5

Lesson Plan

## Relating to Metric Measurement

Students become more familiar and proficient at metric unit measurement by examining measurement and predictions concerning indoor tracks (200 m) and outdoor tracks (400 m).

4-7

Lesson Plan

## Savings Planning Using Tables, Line Graphs and Early Proportionality

Students practice creating data tables and plot and analyze graphs of transactions and accumulations.

3-6

Lesson Plan

## Scaling Down, Scaling Up

Students learn about scaling an object, first smaller (1/10) and then larger (2x).

4-7

Lesson Plan

## Scaling Up a Photograph

Students learn about proportions and figure out the dimensions of enlargements of rectangular photographs (and some reductions), based on the percentage of the enlargement.

4-7

Lesson Plan

## Sharing As a Model for Division

Students use manipulatives to share objects among different sized groups and practice dealing rounds as a division method. They learn to apply the method to problems using numbers and how to write these problems as multiplication and division facts.

3-5

Lesson Plan

## Sizing Up Spout

Students practice measurement skills and estimating lengths and heights when a ruler is not available.

3-5

Lesson Plan

## Strategies for Dividing Numerically

Students practice division and the concept of breaking a total into parts that are smaller and more easily divided.

3-5

Lesson Plan

## Summing Integers:Positive and Negative

Students add, subtract and compare positive and negative integers.

4-8

Lesson Plan

## Tracking Sales with Bar Graphs

Students draw bar graphs and compare information charted on two different bar graphs while paying attention to scaling and labeling axes.

3-6

Lesson Plan

## The Use of Exponents

Students are introduced to exponential form and learn to write repeated multiplication using exponents and to evaluate expressions in exponential form.

5-8

Lesson Plan

## Using Combinations to Solve a Puzzle

Students solve puzzles by eliminating possible solutions using clues. Assessments test whether students can predict the number of combinations needed to solve similar puzzles.

2-5

Lesson Plan

## Using Concrete Manipulatives to Generate Algebraic Patterns

Using manipulatives, students figure out patterns in problems involving seating arrangements. They write algebraic equations to describe the relationships.

4-7

Lesson Plan

## Using Maps and Scales to Get to the Basketball Hall of Fame

Students learn about proportions by using map scales to estimate travel distances. They use understandings of ratios to calculate travel time using an estimated speed.

5-8

Lesson Plan

## Using Percents to Calculate Tips

Students learn to calculate 10% of a number by understanding it as one-tenth of the number. They also learn how to do this by moving the decimal point and how to apply this knowledge to calculating tips.

5-8

Lesson Plan

## Using Recipes to Add Fractions and Convert Improper Fractions to Proper Fractions or Mixed Numbers

Students practice three ways of doubling fractions (representations, addition and multiplication) as they double a cupcake recipe. They convert between improper fractions and mixed numbers.

4-7

Lesson Plan

## Using Two Variables to Express Algebraic Relationships

Students are introduced to algebraic expressions that use more than one variable and have multiple solutions. They figure out combinations of two items at different costs, with each combination adding up to 100.

4-7

Lesson Plan

## Using Variables in Simple Equations

Students are introduced to simple algebra and are asked to solve for the value of different variables.

4-7

Lesson Plan

Students learn to classify quadrilaterals, including trapezoids, with a focus on different types of parallelograms. They learn the relationships among rectangles, squares, and rhombuses as different types of parallelograms.

4-7

Lesson Plan

## Wallpaper and Tessellations

Students practice making tessellations from regular and irregular objects as well as become acquainted with the concept of congruence.

2-5

Lesson Plan

## WNBA Supermom and Elapsed Time

Students learn to use a calendar to calculate elapsed time in days, weeks and months. They practice calculating elapsed time in seconds, minutes and hours.

3-6

Lesson Plan

RESULTS 1-80 OF 80