Numeracy Lessons 1-9 (+,-, X, ÷): reviewing addition, subtraction, multiplication, division of whole & decimal numbers
Lesson #1 (Grade 5) review lesson
Lesson #1 (Grade 6) review lesson
Students Need: pencil, highlighter, scrap paper notebook, math vocabulary sheet, yellow/green card, calculator (no notebooks)
Numbers: Addition and Subtraction with Regrouping
Numbers: Adding and Subtracting Decimals
Learning Intention: When needed, I can regroup accurately when I Learning Intention: I can add and subtract decimal
numbers accurately by ensuring that I remember the invisible
add and subtract numbers.
decimal and I line up the decimals before solving.
Connecting to Prior Knowledge: Vocabulary (word document for
decimal: another way to write a fraction
printing) * highlight these words on your math vocabulary sheet
e.g. ½ = 0.5, 3 7/10 = 3.7
regroup: to exchange amounts of equal value, from one place to
decimal point: a mark that separates the whole number
another
from the fraction part
place value : the value of a digit in a specific spot e.g. the 9 in
sum: answer to an addition question
19 = 9 ones
difference: answer to a subtraction question
Warm-up: Sheppard http://www.sheppardsoftware.com/mathgames/fruitshoot/fruitshoot_addition.htm
Modelling + Big Idea (I think aloud): students watch & listen to lessons
Sammy is earning money to buy a bike that costs $123.00. He has $45.00 and earns $36 more. How much money does Sammy
now have? How much more money does he need to buy the bike?
Jenny went to the store to buy some art paper. She had $5.00 to spend. The art paper cost $3.72. How much change will
Jenny get back?
Supported Practice: students try questions in Scrap Paper notebook (check using a calculator)
a. 49 + 42 =
a) 13.6 + 42.0 =
b. 45 + 68 =
b) 245 + 9.6 =
c. 96 - 25 =
c) 63 – 12.5 =
d. 58 – 29 =
d) 78 – 49.15 =
Independent Practice: solve several practice questions independently (Class Practice: check using a calculator)
i) 36 + 42 =
i) 3.6 + 42.0 =
ii) 45 + 96 =
ii) 45 + 9.6 =
iii) 63 - 25 =
iii) 63 – 2.5 =
iv) 58 – 49 =
iv) 58 – 49.3 =
Lesson #2 Addition with Regrouping (Khan Academy if needed)
Lesson #2 Review + & - Decimals
Students Need: pencil, eraser, ruler, page setup card, scrap paper notebook, yellow/green card, calculator, notebooks
Learning Intention: When needed, I can regroup accurately when I add numbers.
Learning Intention: I line up the
decimals when I am adding or
subtracting decimal numbers.
Warm-Up: 321 * addition facts
Warm-Up:
Modelling + Big Idea: connecting to prior knowledge (watch & listen)
addition (NLVM) with regrouping (watch and then try a few yourself) up to 3 digit #s
Sarah has forty-six marbles. She buys twenty-five more. How many marbles does
Sarah now have?
Billy wants to buy twelve more hockey cards. He has seventy-eight. If he buys twelve
more, how many cards will he have?
Independent Practice:
a) 735.8 + 47.305 =
1. math facts strips
2. review strips (skip counting)
Supported Practice: with regrouping (watch and then try a few yourself)
+ (NLVM)
Independent Practice: (notebooks) check using a calculator
a) 423 + 79 =
f) $4.23 + $1.79 =
b) 43 + 76 + 14 =
g) 143 + 276 + 314 =
c) $3.56 + $ 4.50 =
h) 5487 + 33 =
d) 67 + 25 =
i) 2967 + 25 =
e) 180 + 747 =
j) 5920 + 4080 =
b) $4.56 + $6 =
c) 783 - 23.1 =
d) 16.3 + 34.214 =
e) 45.3 + 25.75 =
f) 143 – 0.2 =
g) $46 + $22 =
h) 75.4 – 36.75 =
i) 392 – 200.6 =
j) 65.23 + 27.395 =
Lesson #3 Subtraction with Regrouping (Khan Academy if needed)
Lesson #3 Review Math Facts
Students Need: pencil, eraser, ruler, page setup card, scrap paper notebook, yellow/green card, and calculator (skip counting),
notebooks
Learning Intention: When needed, I can regroup accurately when I subtract numbers.
Learning Intention: I can solve
basic math facts quickly and
accurately.
Warm-Up: 321 * subtraction facts
Warm-Up:
1. math facts strips
2. review strips (skip counting
Modelling + Big Idea: watch & listen - (NLVM) with regrouping up to 3 digit numbers
Nancy has thirty-three marbles. She gives twenty-five of them to her brother. How
many marbles does Nancy now have?
Billy bought his twelve hockey cards and then had ninety cards. However, he lost three
of them. How many cards does he now have?
Independent Practice: (notebooks)
Basic Math Facts (+, -, x, ÷)
1. Complete mixed sheet
2. Mark a peer’s page
3. Put your marked sheet into
your notebook
4. Skip counting: start
memorizing
Supported Practice: with regrouping (watch and then try a few yourself)
321
Independent Practice: (notebooks)
1. 423 - 79 =
6. $4.23 - $1.79 =
2. 93 - 76 =
7. 343 - 276 =
3. $8.56 - $ 4.59 =
8. 5410 - 33 =
4. 61 - 25 =
9. 2920 - 25 =
5. 980 - 747 =
10. 5920 – 4084 =
Lesson #4 Addition and Subtraction with Decimals
Lesson #4 BEDMAS
Students Need: pencil, eraser, ruler, page setup card, math facts, scrap paper notebook, yellow/green card, and calculator
(skip counting), notebooks
Numbers: Addition and Subtraction with Decimals
Numbers: Order of Operations
Learning Intention: I can add and subtract decimal numbers accurately by
Learning Intention: When asked to solve a
ensuring that I remember the invisible decimal and I line up the decimals
question with many operations, I can solve
before solving.
operations in the correct order.
Vocabulary: BEDMAS/PEDMAS: the order
that operations need to be solved
Warm-Up: oral addition of money
Warm up:
$5 + $0.25, $6 - $0.25,
$10 + $2.25,
$2 - $0.75,
$10 + $3.25
1. math facts strips
Modelling + Big Idea: watch & listen
1) solve using mental math, 2) solve showing the math
Nancy had $5.32 in her piggy bank. Her mother gave her $1 for cleaning her
room. How much money does she now have?
Billy had $6 and found $0.35 on the ground. How much does he have?
Supported Practice:
* remember, always line up place values
i) 35.3 + 62,
ii)75.4 – 36.75, try: iii) 52.76 + 11.1, iv) 123.2 -24.54
* use a calculator to check your answers
Independent Practice: (notebooks)
a) 735.8 + 47.305 =
f) 143 – 0.2 =
b) $4.56 + $6 =
g) $46 + $22 =
c) 783 - 23.1 =
h) 75.4 – 36.75 =
d) 16.3 + 34.214 =
i) 392 – 200.6 =
e) 45.3 + 25.75 =
j) 65.23 + 27.395 =
Numeracy Unit Test: Adding Subtracting Decimals Test (Grade 5 & 6)
2. review strips (skip counting)
Modelling + Big
Idea: watch & listen
a) 2 + (4 x 6) =
b) 4 x 6 + 5 =
Supported Practice:
i) 2 X (4 + 6) =
ii) 4 + 6 X 5 ÷ 3 =
c) (10 + 7) x 2=
iii) 4 – (10 – 7) =
iv) (14 + 4) ÷ 2 =
Independent Practice: (notebooks)
MMS page 72
Questions 1, 3, 4, 5
Lesson #5 1 Digit by 2 Digit Multiplication with regrouping
Lesson #5 Multiplication with Decimals
Students Need: pencil, eraser, ruler, page setup card, math facts, scrap paper notebook, yellow/green card, and calculator
(skip counting), notebooks
Learning Intention: I can accurately multiply 1 digit by 2 digit multiplication with
regrouping.
Learning Intention: I can accurately
multiply 2 digit by 2 digit numbers.
Vocabulary: product: the answer to a multiplication question
Warm-Up: Start math facts strips + review strips (+, - with regrouping)
Warm up:
1.
2.
math facts strips
review strips (BEDMAS)
Modelling + Big Idea: watch & listen
Nancy has five packages of pencils. Each package contains 10 pencils. How many pencils does Nancy have?
Billy bought six boxes of bullets for hunting. Each box contains 225 bullets. How many bullets did Billy buy?
Supported Practice:
52
56
58
×6
×2
×8
18
×5
75
×7
93
×5
55
×3
25
×8
Independent Practice: (notebooks) or worksheet
a) 3 X 48 =
f) $4X $13=
b) 9 X 16 =
g) 34 X 8 =
c) $8 X $ 14=
h) 5 X 33 =
d) 6 X 25 =
i) 22 X 5 =
e) 9 X 47 =
j) 54 X 4 =
Supported Practice:
 Complete the same warm up
questions, however, add a ‘5’ in the
10s place to the second number e.g.
52 x 56
Independent Practice:
1.
2.
3.
4.
5.
Complete worksheet
Mark a peer’s page
Highlight errors
Put into notebook
Continue memorizing Skip
counting
Lesson #6 Introductory Lesson: Lesson: Two Digit Multiplication Without Regrouping
Lesson #6 Introductory Lesson:
Lesson: Two Digit Multiplication
Without Regrouping, with decimals
Students Need: pencil, eraser, ruler, math facts, scrap paper notebook, yellow/green card, calculator, no notebooks
Learning Intention: I can multiply 2 digit by 2 digit numbers without regrouping.
Learning Intention: I can multiply 2
digit by 2 digit decimal numbers
without regrouping.
Warm-Up:
Warm-Up
1. math facts strips
2. review strips (BEDMAS)
1. math facts strips
2. review strips (+, - with regrouping)
Modelling + Big Idea: watch & listen
23
×2
23
×12
54
×1
54
×11
Supported Practice:
52
52
18
18
× 2 ×12
× 1 ×11
1.
2.
3.
4.
5.
24
×2
54
×2
24
x12
54
x12
61
×8
21
×8
61
x18
21
x18
solve one question at a time
check the answer using your calculator
if correct, move on
if not correct, try to figure out why (ask for help you if needed)
when done, with a partner, make up our own questions, solve, check
No Independent Practice
Modelling + Big Idea: watch &
listen
* same as 5s except decimals
added
Supported Practice:
- complete the same warm up
questions, however, add a decimal
point between the first two digits
e.g. 5.2 5.2
x 2 x1.2
Lesson #7 Lesson: Two Digit Multiplication With Regrouping
Lesson #7 Lesson: Two Digit
Multiplication With Regrouping
(with decimals)
Students Need: pencil, eraser, ruler, math facts, scrap paper notebook, yellow/green card, calculator, no notebooks
Learning Intention: I can accurately multiply two digit #s with regrouping.
Learning Intention: I can
accurately multiply two digit
decimal #s with regrouping.
Warm-Up:
Warm-Up:
1. math facts strips
2. review strips (X decimals)
1. math facts strips
2. review strips 2 digit multiplication without regrouping
Modelling + Big Idea: watch & listen
aaa (http://www.aaamath.com/mul_2x2.htm) 4-5 questions
Modelling + Big Idea: watch &
listen
* same as grade 5s except with a
decimal added between the first
two digits
Supported Practice:
52
52
18
18
× 6 ×16
× 5 ×15
Supported Practice:
complete the same warm up
questions, however, add a decimal
point between the first two digits
e.g. 5.2
x6
2.
3.
4.
5.
6.
55
×3
55
x13
25
×8
25
x18
Solve one question at a time
check the answer using your calculator
if correct, move on
if not correct, try to figure out why (ask for help you if needed)
when done, with a partner, make up our own questions, solve, check
No Independent Practice:
No Independent Practice
Lesson #8 Two Digit Multiplication With Regrouping
Lesson #8 Two Digit Multiplication
With Regrouping (with decimals)
Students Need: pencil, eraser, ruler, math facts, scrap paper notebook, yellow/green card, calculator, notebooks
Learning Intention: I can accurately multiply two digit #s with regrouping.
Learning Intention: I can
accurately multiply two digit
decimal #s with regrouping.
Warm-Up:
1. math facts strips
2. review strips 2 digit multiplication with regrouping
Warm-Up:
1) math facts strips
2) review strips (BEDMAS)
Modelling + Big Idea: watch & listen
aaa math
Modelling + Big Idea: watch &
listen
* same as grade 5s except with a
decimal added between the first
two digits
Supported Practice:
AAAmath
Supported Practice:
- complete the same warm up
questions, however, add a decimal
point between the first ones and
the tens of both numbers
e.g. 35.2
x2.6
1.
2.
3.
4.
rewrite
solve
check using your calculator
keep working of each question, if you miss one, ignore it
Independent Practice: (notebooks)
MMS page 94
Questions 2-5, 9
Independent Practice: (notebooks)
MMS page 97
Questions 1-4, 6-8
Lesson #9 Practice: Two Digit Multiplication With Regrouping
Lesson #9 Practice: Two Digit
Multiplication With Regrouping
(with decimals)
Students Need: pencil, eraser, ruler, math facts, scrap paper notebook, yellow/green card, calculator, notebooks
Learning Intention: I can accurately multiply two digit #s with regrouping.
Learning Intention: I can
accurately multiply two digit
decimal #s with regrouping.
Warm-Up:
1. math facts strips
2. review strips 2 digit multiplication with regrouping
Warm-Up:
1. math facts strips
2. review strips (X decimals)
Modelling + Big Idea: watch & listen
aaa math
Modelling + Big Idea: watch &
listen
* same as 5s, decimal point added
Supported Practice:
AAAmath
Supported Practice:
- same as 5s, decimal point added
Independent Practice: (notebooks)
Independent Practice: (notebooks)
1. Worksheets Just What You Need
1. Worksheets: Just What You
Need
2. Questions 1-4, 6-8
Numeracy Unit Test: Multiplication Test Traditional
Numeracy Unit Test: Multiplication Test with decimals