Amherst and Pelham Public Schools
Curriculum Overview
Subject: Mathematics Grade Level: Fifth Grade
Revised 6/08
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Concepts/Enduring
Understanding/Themes |
Topics/Units |
Content/Skills |
Essential Activities/Agreements |
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Number Sense and
Operations Patterns,
Relations, and Algebra Geometry Measurement Data Analysis, Statistics, and Probability |
Investigations
materials: --Thousands of Miles… --Decimals on Grids/Number Lines --What’s That Portion, -- --Growth Patterns --How Many People?... Scott Foresman Addition Wesley
(SFAW) text, Selected Lessons in
Chapters 1, 4, 5, 7, 12 Investigations
materials: --Growth Patterns --How Many People?... --Measuring Polygons --How Long Can You Stand…? SFAW Chap. 1,
2, 3, 4, 11, 12 Investigations
materials: --Measuring Polygons --Prisms & Pyramids --Growth Patterns Investigations
materials: --Measuring Polygons --Growth Patterns --Prisms & Pyramids SFAW: Chapter 9 Investigations
materials: --How Long Can You Stand… --Growth Patterns SFAW: Chapter 5 |
*Demonstrate
an understanding of (positive integer) powers of ten up to 106. *Represent
and compare positive numbers to millions and thousandths in various forms
using concrete models, expanded notation for whole numbers without exponents;
and word form. *Compare
mixed numbers and improper fractions; decimals and percents; and fractions
and decimals. *Apply
number theory concepts – including prime and composite numbers, common
factor, common multiple and divisibility rules for 2, 3, 5 and 10. *Demonstrate an
understanding of the inverse relationship of addition and subtraction, and
use that understanding to simplify computation and solve problems. *Accurately
and efficiently add and subtract whole numbers and positive decimals. Multiply, and divide (using double-digit
divisors) whole numbers. Multiply
positive decimals and whole numbers. *Accurately
and efficiently add and subtract positive fractions and mixed numbers with
like denominators and with unlike denominators (2, 4, 5, 10 only); multiply
positive fractions with whole numbers.
Simplify fractions in cases when both the numerator and the
denominator have 2, 3, 4, 5, or 10 as a common factor. *Estimate
sums and differences of whole numbers, positive fractions, and positive
decimals with reasoned strategies. Estimate products of whole numbers and
products of decimals with whole numbers using reasoned strategies. *Use
the properties of equality to solve problems with whole numbers, (e.g., if + 7 =
13, then = 13 – 7, therefore
= 6). *Solve
linear equations with one variable using various methods such as concrete
models, tables, graphs, “guess, check, and revise” and pencil-paper methods. *Produce
and interpret graphs, charts, and tables that represent the relationship
between two variables in everyday situations. *Identify,
compare, and classify types of triangles, quadrilaterals, pentagons,
hexagons, and octagons. Classify triangles and quadrilaterals into their
subsets. *Describe,
model, draw, compare, classify, and identify 3-dimensional shapes (e.g.
cubes, prisms, spheres, cones, and pyramids) based on their properties, such
as edges, faces, vertices, and bases. *Apply
the concept of perimeter and area to the solution of problems involving
triangles and rectangles. Apply
formulas where appropriate. *Find
the sum of the interior angles in triangles with and without measuring the
angles. *Describe
and compare data sets using concepts of median, mean, mode, range, maximum
and minimum, and apply to solutions of problems. *Construct
and interpret line plots, line graphs, and bar graphs. Interpret and label circle graphs. *Predict
the probability of outcomes of simple experiments and test the predictions. |
The mathematics period in
the fifth grade classroom should be at least 60-70 minutes long each
day. This period may be broken down
into time for the general lesson
(45-50) minutes and 15-25 minutes each day for individual and small
group extension, reinforcement, and re-teaching work or one of the following
activities: Teachers will need to
select activities and suggestions in the MCAS
Preparation Section (pages T36-T47) in Volume 1 of the SFAW Teachers’
Manual. Teachers will also need to include the
activities in the Ten Minute Math (pages
24 – 36) section of the Implementing Investigations
in Grade 5 Guide into their daily class schedule. Quick Images, Exploring Data, Volume & Surface Area |