Download Unit Number System Days: 1 – 13 Mathematics Grade: 8th Standard

Unit Number System
Days: 1 – 13
Mathematics
Grade: 8th
Standard: 8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for
rational numbers, show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a
rational number.
8.NS.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a
number line diagram, and estimate the value of expressions (e.g. 𝝅2). For example, by truncating the decimal expansion of √2, show that √2
is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
K, R
Target
Domain: The Number System
Cluster: Know that there are numbers that are Grade: 8
not rational and approximate them
Type:
by rational number
Make sense of
problems and
persevere in solving
them.
Reason abstractly
and quantitatively.
Knowledge Target
(Prerequisite Skill or Underpinning)
Define irrational numbers.
Construct viable
arguments and
critique the
reasoning of others.
Model with
mathematics.
Reasoning Target
(Mastery)
Use appropriate
tools strategically.
Attend to precision.
Performance Skill Target
(Mastery)
Look for and make
use of structure.
Product Target
Compare the size of irrational numbers using
rational approximations.
Show that the decimal expansion of
rational numbers repeats eventually.
Convert a decimal expansion which
repeats eventually into a rational number.
Show informally that every number has a
decimal expansion.
Approximate irrational numbers as
rational numbers.
Approximately locate irrational numbers
on a number line.
Estimate the value of expressions
involving irrational numbers using rational
approximations. (For example, by
truncating the decimal expansion of√2,
show that √2 is between 1 and 2, then
between 1.4 and 1.5, and explain how to
continue on to get better approximations.)
Formative Pre-assessment
Student Learning Target
Look for and express
regularity in repeated
reasoning.
Formative Assessment
Day 1:
Day 1:
I can define, identify, and compare rational and State whether each number is rational or irrational and justify your answer.
irrational numbers. (K)
Exit Slip:
1)
4/5
Day 2:
2)
1.23
I can write the steps to convert fractions to
3)
8 5/6
decimals. (K)
4)
1.215897……
5)
√16
Day 3:
6)
3.4
I can convert fractions to decimals. (R)
7)
π
8)
√12
Day 4:
9)
9½
I can convert fractions to decimals and plot on
10)
0
a number line. (R)
Can you explain the terms below in your own words? (Define rational and irrational
Day 5:
numbers.)
I can convert fractions to percents. (R)
Day 2:
Day 6:
Exit Slip: What are the steps to convert a fraction to a decimal (long division)?
I can convert decimals to fractions. (R)
Day 3:
Day 7:
What is the decimal expansion of each fraction?
I can convert decimals to fractions to determine
¾, 2/9, 10/99
if it is rational or irrational. (R)
Day 4:
Day 8:
What is the decimal expansion of each fraction? Plot each decimal on a number line.
I can convert decimals to percents. (R)
3/8, 5/6, 3/11
Day 9:
I can convert perfect square roots to integers
and fractions. (R)
Day 5:
Write each fraction as a percent?
2/5, 4/9, 6/11
Day 10:
I can convert square roots to decimals with
50% accuracy. (R)
Day 6:
Write each decimal as a fraction in simplest form.
0.12, 0.04, 0.22222….., 0.141414….
Day 11:
Day 7:
I can convert square roots to decimals and plot Write each decimal as a fraction in simplest form. Identify as rational or irrational.
on a number line. (R)
0.26, 0.08, 0.555555…., 0.232323…..
Day 12:
I can plot rational and irrational numbers on a
number line. (R)
Day 8:
Write each decimal as a percent.
0.03, 0.23, 0.00041, 5.3
Day 13:
I can compare the size of irrational numbers
using rational approximations. (R)
Day 9:
Convert perfect square roots to integers and fractions
√25, √100, √(9/16), √(100, 144)
Day 10:
Convert each non-perfect square root to a decimal rounded to the nearest tenth. √5, √2
Day 11:
Unit Number System
Days: 1 – 13
Mathematics
Grade: 8th
Convert each non-perfect square root to a decimal rounded to the nearest tenth. Plot on a
number line. √8, √17, √3, √24
Day 12:
Plot each rational and irrational number (estimating) on a number line.
1)
4/5
2)
1.23
3)
8 5/6
4)
1.215897……
5)
√16
6)
3.4
7)
π
8)
√12
9)
9 ½
10)
0
Day 13:
List the following numbers in order from least to greatest or greatest to least.
Compare two numbers using the symbols <,> and=.
Π
3.14
Critical Content Vocabulary
Rational Number
Irrational Number
Decimal Expansion
Repeating Decimals
Terminating Decimals
√5
2.5
1/3
0.3333…..