Yearly Syllabus
5th Grade Math
Month/
Weeks
Unit/Topic
September
Assessment
Cross number puzzles (practice 2 & 3 digit addition and subtraction),
input-output tables (different rules may show same function),
connecting input-output machines and puzzles (practice
computation) and using inverse relationships - +,x ÷, negative
outputs, writing numerical and algebraic rules, apply rules, steps and
strategies for solving problems reviewing and assessing ch. 1
Finding patterns in the multiplication table, using pictures and
puzzles to make generalizations ,
using doubling and adding products to find products, multiplying
multiples of ten, read write and compare large numbers, estimating
products by rounding, estimating by using compatible numbers,
Using square numbers to find related facts
multiplication patterns, using square number differences to find
products, investigate why patterns work, using simpler multiplication
to find larger products, reviewing and assessing ch.2
Classifying numbers, odd, even, square, multiple, finding factors,
using diagrams for factoring, identifying common factors, prime and
composite numbers,
Ch.1
Ch.2
October-
Ch.3
Factoring &
Prime
Numbers
November
Ch. 4
Equivalence
and
comparison
of Fractions
Prime factoring, writing numbers as products of prime factors, using
divisibility rules, problem solving strategy guess and check, reviewing
and assessing ch.3
Relating fractions to multiplication and division, order of operations
with fractions, equivalent fractions, simplest form, generating
equivalent fractions, compering fractions
Common denominators, fractions as parts of a whole and locations
on a number line, generating improper fractions and mixed
numbers, problem solving strategy draw a picture, reviewing and
assessing ch.4
Using multiplication to solve 2-3 digit number problems, estimating
using rounding and compatible numbers, making vertical records for
multiplication, algebraic notation with input output tables,
Ch. 5
Recording
Multi-digit
multiplication
December
Problem solving strategy make a table, reviewing and assessing ch. 5,
Ch. 6 Grids
using ordered pairs to graph points and vertices, translate figures on
and Graphs
a coordinate grid and notice changes, reflect figures and plot points
Rotate figures, compare relationship between reflection and
rotation, practice transformations, review negative numbers, graph,
name and locate points in all four coordinates, add and subtract
coordinates to move points, determine mode and range of data,
MA
Standards
5.OA1
5.NBT2
5.NF1,5.NF
5.NF2
5.NBT5
5.OA 3, 5.G1,
5.NS1
Completed?
January
Ch. 7
Decimals
Ch.8
Division
Algorithm
February
Ch.9
Attributes of
a2
Dimensional
Figure
March
Ch.10 Area &
Perimeter
Ch.11
Fraction
Computation
April
frequency graphs,
Determine median, mode and range of data, collect data, construct
tables, problem solving strategy act it out, reviewing and assessing
ch.6
Read, write, compare decimals through the thousands place, locate
and position decimals on a number line, use place value to compare
and order decimals, place value to the billions for whole numbers
and thousandths place for decimals, connect decimals and fractions,
write decimals for fractions
Strategies to estimate decimals, use models for decimals and
fractions, estimate decimals with fractions, math in everyday
situations, add & subtract decimals, solve problems with decimal
addition and subtraction, use estimation to check answers
Multiply decimals, solve problems, problem solving strategies act it
out and make a model, reviewing and assessing ch. 7
Solve problems using multiplication and division, see connections
between multiplication and division, divide large numbers with an
area model, use area models to determine partial quotients
Use division to solve problems with whole numbers, rounding and
compatible numbers to estimate, use multiplication to check division,
explore remainders, deciding when to ignore remainders, add them
as fractions or decimals to the quotient,
Deciding when to round up the quotient, problem solving strategy
draw a picture, articulate strategies to solve problems, standardized
test prep, review and asses ch.8, review concepts of angle and its
size, angle sizes in a triangle
Classify triangles using congruent parts and perpendicular sides, use
a protractor to measure angles, construct congruent triangles,
practice measuring and drawing segments and angles, identify
congruent and similar, angles and shapes, recognize that the sum of
angles measures 180, find the measures of angles, practice
measuring and drawing angles, determine angles formed by a line
intersecting parallel lines
Classify quadrilaterals by attributes, definitions and properties of a
parallelogram, rectangles, and special quadrilaterals, sum of angles in
quadrilaterals is 360, strategy-look for a pattern, standardized test
prep, review and assess ch.9
Measure length, perimeter and area with appropriate units, connect
models for perimeter and areas and height for parallelograms,
use formulas of trapezoid to find formulas of a triangle and
trapezoids , find perimeter and area of complex figures from simpler
figures, strategy solve a simpler problem, test prep, review and
assess ch.10
Add and subtract fractions with like denominators, interpret and
solve story problems involving fractions, fractions that sum to 1, add
and subtract unlike things by finding a common, making unit
conversions, add and subtract fractions with unlike denominators,
estimate sums and differences of mixed numbers
Add and subtract fractions in story problems, multiply fractions using
5.G2
5.NBT 1,
5.NBT3
5.NBT7
5.NO.4
5.NBT6
5.NBT7
5.NBT6
5.G3,4
5.G3
5.MD 3
5.NOF.1
5.NOF.2
5.NOF.4a
From
Standards
Ch.12 Three
Dimensional
Geometry
May
Ch.13
Fun With
Algebra (Save
for end of
year)
Ch.14
Data &
Probability
June
an area model, multiply fractions using dot sketches and line
intersections, find a fraction of a set by multiplying a whole number
by a fraction, solve story problems that require multiplying fractions
Compare the size of a product based on length of sides, understand
when fraction products are less than 1, multiplication of fractions and
mixed numbers, divide unit fractions by whole numbers, solve real
world problems with multiplication and division of fractions,
Strategies, solve a simpler problem, test prep, review and assess
ch.11, connect, describe shapes and nets, number, shape, and
position of faces on 3 dimensional figures, classify 3 dimensional
figures,
Polyhedral and other 3 D figures, define prisms and pyramids, cones,
cylinders and spheres, models of area and volume of rectangular
prisms, spheres from polyhedral, appropriate units to measure
length, area and volume, triangular and triangular prisms formula for
volume, compute area of a net, formulas for area of rectangles and
triangles, surface area of polyhedral, explore how dimensions
change when dimensions are doubled, solve problems involving
volume and surface area, strategy guess and check, test prep,
Recognize and create balanced mobiles, solve mobile puzzles with
unknown qualities, use algebraic shorthand for recording
relationships, solve simple equations, explore number tricks,
5.NOF5,6,7
5.MB.3,4,5
Use diagrams to illustrate relationships, connect diagrams and
algebraic expressions, find, record and use a rule from a story
problem, strategy work backwards, test prep, review and assess
ch.13
Determine all possible outcomes, use fractions to describe
experimental results, use experimental results to make predications,
choose a random sample from a population, consider size of a
sample, relate percent, fractions, and decimals
Interpret data in circle graph, construct circle graphs, strategy make a 5.G1
table, test prep, review and assess ch.14, to graph points on a
coordinate grid, relate slope and rate of change,
Make a straight line graph of proportional relationships, relationships 5.NS 1
among cups, pints, quarts, and gallons, vary the scale of graphs,
explore graphs of linear relationships, conversions between
measurements, understand relationship between distance, time and
speed and interpret story problems, graph distances, use positive and
negative coordinates, Fahrenheit and Celsius systems for measuring
temperature
End of Year Assessment