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Teaching Gracefully

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Preview of Fraction Comparisons Unit

Fraction Comparisons Unit

By the end of this unit, the students will extend their conceptual understanding of fractions by arriving at the conclusion that fraction comparisons are valid only when the fractions refer to the same whole in the same units by comparing and ordering fractions with like as well as unlike numerators and denominators based on the magnitudes that they represent, in order to solve story problems involving fractions and creating written explanations to justify the answer, proven through visual model
Preview of Comparing and Ordering Fractions with Unlike Denominators Steps

Comparing and Ordering Fractions with Unlike Denominators Steps

Use this resource as a helpful tool when teaching students how to compare and order fractions with unlike denominators. This resource provides objectives as well as logical and sequential lesson steps for the mathematical procedure of how to compare and order fractions with unlike denominators by making equivalent fractions using least common multiples in language that you and your students can understand. This resource includes working through an example of each type of problem.
Preview of Equivalent and Comparing Fractions with Denominators of 10 and 100 Powerpoint

Equivalent and Comparing Fractions with Denominators of 10 and 100 Powerpoint

Use this powerpoint to teach students how to recognize and generate equivalent fractions with denominators of 10 and 100 by using grids and compare fractions with denominators 10 and 100. The powerpoint starts with having the students review how to compare fractions with unlike denominators by creating equivalent fractions with like denominators. Then it moves to an attention getter of having the students look at pictures that the students see different things while looking at the same picture.
Preview of Comparing Fractions with Like Denominators Powerpoint

Comparing Fractions with Like Denominators Powerpoint

Use this powerpoint to teach students how to compare fractions with like denominators. This powerpoint begins with a few slides to be used as an attention getter as well as to explain when comparing fractions, the wholes need to be the same size. The powerpoint then moves to how to the concrete by showing how to compare fractions visually by drawing models and partitioning the whole into the same size parts. Then it moves to the abstract by generalizing a rule to be used when comparing any fr
Preview of Comparing Fractions Preassessment

Comparing Fractions Preassessment

Use this pre-assessment to find out what your students already know about comparing fractions and decimals. This pre-assessment asks the students to use < , > , = to compare fractions with like and unlike numerators and denominators, solve a word problem involving fraction comparison, order decimals from least to greatest, place a decimal on a number line, and match amounts expressed in unit form to its equivalent fraction and decimal form.
Preview of Compare Fractions with Unlike Numerators and Denominators

Compare Fractions with Unlike Numerators and Denominators

The students are to use < , > , or = to compare two fractions with unlike numerators and denominators. The students will then justify their comparison by using the visual representation of a number line, a picture, fraction tiles, and benchmark fractions. They will then write an explanation to justify their comparisons.
Preview of Comparing Fractions with Like Numerators Powerpoint

Comparing Fractions with Like Numerators Powerpoint

Use this powerpoint to teach students how to compare fractions with like numerators. The powerpoint starts with the concrete by showing how to compare fractions visually by drawing models and partitioning the same size whole into the number of parts given by the numerator. Then it moves to the abstract by generalizing a rule to be used when comparing any fractions with like numerators, by just looking at the denominators. The powerpoint ends with a word problem that involves comparing fractions
Preview of Make Equivalent Fractions

Make Equivalent Fractions

Have the students practice making equivalent fractions mathematically by finding the missing number in the fraction.
Preview of Comparing Fractions with Like Numerators Lesson Plan

Comparing Fractions with Like Numerators Lesson Plan

By the end of this lesson, the students should be able to compare two fractions by reasoning about their size, compare and order fractions with like numerators by finding common units or number of units, generate a relationship or rule pertaining to comparing fractions with like numerators, and order fractions using < , > , and = and justify the comparison. This lesson plan includes objectives, essential questions, standards, evaluation methods, materials needed, and the procedural step
Preview of Comparing and Ordering Fractions with Unlike Denominators Lesson Plan

Comparing and Ordering Fractions with Unlike Denominators Lesson Plan

By the end of this lesson, the students will be able to compare and order fractions with unlike denominators by forming equivalent fractions from least common multiples. This lesson plan includes objectives, essential questions, standards, evaluation methods, materials needed, and the procedural steps for the attention getter, summary directive, group instruction/demonstration, guided practice, independent practice, assessment, and closure. This lesson plan includes several hands on activities t
Preview of Comparing Fractions with Equivalent Fractions with Denominators of 10 and 100

Comparing Fractions with Equivalent Fractions with Denominators of 10 and 100

By the end of this lesson, the students should be able to recognize and generate equivalent fractions with denominators of 10 and 100 by using grids and compare fractions with denominators 10 and 100. This lesson plan includes objectives, essential questions, standards, evaluation methods, materials needed, and the procedural steps for the attention getter, summary directive, group instruction/demonstration, guided practice, independent practice, assessment, and closure. This lesson plan include
Preview of Comparing Fractions Using Benchmark Fractions Lesson Plan

Comparing Fractions Using Benchmark Fractions Lesson Plan

By the end of this lesson, the students should be able to use benchmark fractions in order to identify fractions as being near zero, one half, or one whole, devise rules or generalizations, by analyzing fractions close to different benchmarks, for how to know whether a fraction is close to the benchmarks 0, 1/2, and 1), and use benchmark fractions to compare fractions with different numerators and denominators. This lesson plan includes objectives, essential questions, standards, evaluation met
Preview of Denominators of 10 and 100 Assessment

Denominators of 10 and 100 Assessment

Use this assessment to see if the students are able to recognize and generate equivalent fractions with denominators of 10 and 100 by using grids and compare fractions with denominators 10 and 100. There is a hundreds grid that is shaded. The students are to write two different equivalent fractions that represent the amount that is shaded on the grid (one with a denominator of 10, and one with the denominator of 100). The students are then to prove by showing mathematically that the two fracti
Preview of My Book of Fractions

My Book of Fractions

Use this Book of Fractions to teach and help students practice fractional concepts. This Book of fractions enables students to locate and identify fractional parts, write and read fractions, construct fractions that represent a part of a whole shape, and create a part of a whole by coloring a shape that corresponds with a given fraction. The students will use markers, crayons, or colored pencils to color in equal parts on both the rectangles and the circles to represent halves, thirds, fourth
Preview of Fraction Concepts: Understanding Fractions Scope and Sequence

Fraction Concepts: Understanding Fractions Scope and Sequence

Through the lessons outlined in this scope and sequence, the students will extend their conceptual understanding of fractions from the concrete to the abstract in order to generate a conclusion about the meanings, use, and many representations of fractions, including the development of methods for determining fraction equivalency to compare and order fractions. This scope and sequence includes a unit goal, the big idea, standards, unit objectives, and the unit assessment plan. Their are 12 less
Preview of Fractions and Decimals

Fractions and Decimals

Use this to help students practice or as an assessment when teaching fractions and decimals. Students are to write a decimal and a fraction to represent the part of a grid that is shaded, compare fractions and decimals, shade grids to represent given decimals, write fractions as decimals, and write decimals as fractions.
Preview of Extending Fractional Concepts: Fraction Comparisons Scope and Sequence

Extending Fractional Concepts: Fraction Comparisons Scope and Sequence

By the end of this unit, the students will extend their conceptual understanding of fractions by arriving at the conclusion that fraction comparisons are valid only when the fractions refer to the same whole in the same units by comparing and ordering fractions with like as well as unlike numerators and denominators based on the magnitudes that they represent, in order to solve story problems involving fractions and creating written explanations to justify the answer, proven through visual model
Preview of Comparing Fractions with Unlike Numerators and Denominators Visually Stations

Comparing Fractions with Unlike Numerators and Denominators Visually Stations

Use these stations to help the students comparing fractions with unlike numerators and denominators visually and answer the essential question "How can I use visual representations to compare and order fractions with different numerators and denominators?" Through these stations, the students will compare fractions with different numerators and denominators visually using number lines(station 1), pictures (station 2), and fraction tiles/strips (station 3). Through these fun, interactive, and ha
Preview of Finding Equivalent Fractions

Finding Equivalent Fractions

By the end of this lesson, the students will be able to explain why two fractions are equivalent even though they use different numbers, find, create, and generate equivalent fractions by multiplying the numerator and the denominator of a fraction by the same number, determine and recognize whether two fractions are equivalent, and solve problems using equivalent fractions. This lesson plan includes objectives, essential questions, standards, evaluation methods, materials needed, and the procedu
Preview of Developing Fraction Concepts Lesson Plan

Developing Fraction Concepts Lesson Plan

By the end of this lesson plan, the students should be able to locate and identify fractional parts, write fractions, read fractions, construct fractions that represent a part of a whole shape, and create a part of a whole by coloring a shape that corresponds with a given fraction. This lesson plan includes objectives, essential questions, standards, evaluation methods, materials needed, and the procedural steps for the attention getter, summary directive, group instruction/demonstration, guide
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