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FuelEd Anywhere Learning System (ALS)
Mathematics V
Grade Level 5
The Mathematics V course includes topics such as:
•
organizing data
•
rounding whole numbers
•
polygons
•
vertices, edges, and prisms
1
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FuelEd Anywhere Learning System (ALS)
TEACHERS' GUIDE
Grade Level 5
COURSE DESCRIPTION: The Anywhere Learning System (ALS) Mathematics V course covers these concepts: exponents; standard, expanded,
and word forms of numbers; writing decimals; adding and subtracting decimals; the properties of addition; the five-step thinking plan; multiplying
two- and three-digit numbers; surveys; uses of line and circle graphs; Venn diagrams; least common multiples; units of length; elapsed time; lines
and angles; circles; perimeter; circumference; pyramids; and probability.
COURSE FEATURES:
•
Mathematics V is a year-long course.
•
All lessons contain a study guide, a practice test, and mastery test. Many
lessons have an essay or other constructed response.
•
The Mathematics V lessons are certified by MetaMetrics with Lexile
scores.
•
Some lessons in this course are enriched by National Library of Virtual
®
Manipulatives (NLVM) applets or Encyclopædia Britannica Online
School Edition (EB) workspaces that contain learning materials. Learning
materials may include articles, games, images, maps, and/or videos.
®
®
COURSE OBJECTIVES:
•
The content in this title is designed to meet and exceed the requirements of the National Council of Teachers in Mathematics. The
standards for school mathematics describe a comprehensive set of goals for mathematics instruction.
•
Students will understand meanings of operations and how they relate to one another.
•
Students will understand numbers, ways of representing numbers, relationships among numbers, and number systems.
•
Students will compute fluently and make reasonable estimates. In addition, students will build new mathematical knowledge through
problem solving.
2
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FuelEd Anywhere Learning System (ALS)
TEACHERS' GUIDE
Grade Level 5
ALS POWERPACK
The National Library of Virtual Manipulatives is a library of uniquely interactive, web-based virtual
manipulatives or concept tutorials for mathematics instruction supported by the National Science
Foundation.
Each applet provides interactive math lessons and activities.
The launch icon for NLVM objects,
, is located on the study guide pages of the ALS lesson.
This course contains links to the Encyclopædia Britannica Online School Edition (EB). EB links provide teacher resources and student learning
materials. The materials include a wide range of interactive lessons, research projects, animations, and worksheets that support many ALS
lessons. Each workspace may contain an article, diagram, or video.
The launch icon for EB objects is located at the top of the screen in the
study guide section.
3
Copyright © 2014 Fuel Education LLC. All rights reserved.
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FuelEd Anywhere Learning System (ALS)
TEACHERS' GUIDE
Grade Level 5
COURSE CONTENT
Course
Name
Number of
Lessons
Length of
Course in
Semesters
Grade
Levels
Lexile
Measure
NLVM
Mathematics V
37
2
5
730L
Yes
4
Copyright © 2014 Fuel Education LLC. All rights reserved.
MetaMetrics, Lexile, and Quantile are registered trademarks of MetaMetrics, Inc.
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FuelEd Anywhere Learning System (ALS)
SCOPE & SEQUENCE
Grade Level 5
Lesson Name
Lesson Description
Activities
1
Whole Numbers 1
Place value through millions. Exponents. Standard, expanded, and word forms
of numbers.
600Q
Study: EB Learning Material
NLVM Activity
Essay: Problem Solving
2
Whole Numbers 2
Comparing and ordering whole numbers. Rounding through millions.
600Q
Study: EB Learning Material
3
Decimals 1
Place value through thousandths. Zero in decimals. Writing decimals.
620Q
Study: EB Learning Material
NLVM Activity
Essay: Listing
4
Decimals 2
Comparing and ordering decimals. Patterns in decimals. Rounding decimals.
600Q
Study: EB Learning Material
Essay: Written Response
5
Properties of Addition
Commutative, associative, and zero properties of addition.
280Q
Essay: Problem Solving
6
Addition & Subtraction
1
Inverse operations. Estimating sums.
420Q
Study: EB Learning Material
Essay: Problem Solving
7
Addition & Subtraction
2
Addition and subtraction across zeros. Regrouping with zeros.
250Q
Study: EB Learning Material
NLVM Activities (2)
8
Addition & Subtraction
3
Addition and subtraction of decimals. Clustering.
580Q
Study: NLVM Activity
9
Problem Solving 1
The five step thinking plan. Using inverse operations.
10
Organizing Data 1
Using tables to organize, analyze, and solve problems.
11
Problem Solving 2
Multi-step problems. Using the five step thinking plan.
Study: EB Learning Material
NLVM Activity
390Q
Study: EB Learning Material
Study: EB Learning Material
NLVM Activity
5
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FuelEd Anywhere Learning System (ALS)
SCOPE & SEQUENCE
Grade Level 5
Lesson Name
Lesson Description
Activities
12
Multiplication 1
Commutative, associative, zero, one, and distributive multiplication properties.
Mental math techniques. Estimating.
560Q
Study: EB Learning Material
Essay: Written Response
13
Multiplication 2
Multiplication by two and three digit numbers. Multiplication problems with
missing factors.
330Q
Study: EB Learning Material
NLVM Activity
14
Multiplication 3
Estimation. Mental math. Decimal multiplication. Zero in decimals.
700Q
Study: EB Learning Material
15
Division 1
Dividing whole numbers by one and two digit numbers. Estimating quotients.
690Q
Study: EB Learning Material
NLVM Activities (2)
16
Division 2
Short division. Dividing larger numbers. Using zeros in division. Identifying
patterns. Checking division.
690Q
Study: EB Learning Material
17
Division 3
Dividing decimals. Estimation and mental math.
700Q
Study: EB Learning Material
18
Organizing Data 2
Surveys. Sample groups. Range, mode, mean, median.
850Q
Study: EB Learning Material
Essay: Problem Solving
19
Bar Graphs &
Pictographs
Parts of a bar graph. Selecting a scale. Displaying data on bar graph.
Displaying data on pictograph. Reading data. Analyzing data. Making
inferences.
480Q
Study: NLVM Activity
20
Line Graphs
Uses of line graphs. Parts of line graphs. Displaying data.
470Q
Study: EB Learning Material
Essay: Written Response
21
Circle Graphs
Circle graphs. Venn diagrams. Analyzing data.
600Q
Study: EB Learning Material
NLVM Activity
22
Ordered Pairs
Ordered pairs. Graphing on a grid.
370Q
Study: EB Learning Material
NLVM Activity
6
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FuelEd Anywhere Learning System (ALS)
SCOPE & SEQUENCE
Grade Level 5
Lesson Name
Lesson Description
Activities
23
Fractions 1
Fraction parts. Equivalent fractions. Prime numbers. Composite numbers.
Greatest common factors. Simplest form. Least common multiples.
740Q
Study: EB Learning Material
NLVM Activities (4)
24
Fractions 2
Comparing fractions. Reducing fractions. Improper fractions. Mixed numbers.
710Q
Study: EB Learning Material
NLVM Activity
25
Fractions 3
Estimation. Adding and subtracting like fractions. Adding and subtracting
unlike fractions. Adding and subtracting mixed numbers.
790Q
Study: EB Learning Material
NLVM Activity
26
Fractions 4
Multiplying fractions and mixed numbers.
920Q
Study: EB Learning Material
27
Metric Measurement
Units of length. Units of capacity. Units of mass. Changing metric units.
820Q
Study: EB Learning Material
Essay: Listing
28
Customary
Measurement
Units of length. Units of capacity. Units of weight.
820Q
Study: EB Learning Material
29
Time Measurement
Time. Elapsed time. Schedules.
820Q
Study: EB Learning Material
30
Lines & Angles
Point, line, line segment, ray, angle, plane. Intersecting lines. Parallel lines.
Perpendicular lines. Acute, obtuse, and right angles. Angle measurement.
750Q
Study: EB Learning Material
Essay: Written Response
31
Polygons
Plane figures. Triangles. Classifying by sides. Classifying by angles.
Quadrilaterals. Classifying quadrilaterals. Symmetry. Congruent figures.
Similar figures.
1000Q
Study: NLVM Activity
32
Circles
Circles. Circle parts. Circumference, diameter, radius, chord. Compass.
Relationships of parts. Pi.
810Q
Study: EB Learning Material
NLVM Activity
33
Space Figures
Faces, vertices, edges. Prisms. Pyramids. Cones. Cylinders. Spheres.
530Q
Study: EB Learning Material
NLVM Activity
7
Copyright © 2014 Fuel Education LLC. All rights reserved.
MetaMetrics, Lexile, and Quantile are registered trademarks of MetaMetrics, Inc.
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FuelEd Anywhere Learning System (ALS)
SCOPE & SEQUENCE
Grade Level 5
Lesson Name
34
Geometric
Measurement
35
Ratios
36
Percent
37
Probability
Lesson Description
Activities
Perimeter. Circumference. Area of rectangles, triangles, parallelograms,
circles. Area of irregular shapes. Volume of space figures.
1040Q
Study: EB Learning Material
NLVM Activity
Meaning of ratio. Equivalent ratios. Use of ratio in scale drawings.
590Q
Study: EB Learning Material
Ratio. Percent of decimals. Finding percent of a numbers.
860Q
Study: EB Learning Material
NLVM Activity
Essay: Problem Solving
Definition and examples of probability. Prediction of outcomes. Fractions and
probability.
440Q
Study: EB Learning Material
NLVM Activity
8
Copyright © 2014 Fuel Education LLC. All rights reserved.
MetaMetrics, Lexile, and Quantile are registered trademarks of MetaMetrics, Inc.
getfueled.com