Mathematics autumn 1
Year 10 Foundation
Chapter
S Powers and
E standard
P form
T
E
M
B
E
R
S Congruency
E and
P Similarity
T
E
M
B
E
R
Learning objectives
Students will be able to
 To multiply and divide numbers by powers of 10.
 To use powers (also known as indices).
 To write a number as a power of another
number.
 To write numbers greater than 1 in standard
form.
 To write decimal numbers including numbers
smaller than 1 in standard form.
 To change numbers from standard form to
normal form.
 To carry out calculations in standard form.

 To show two triangles are congruent.
 To show that two shapes are similar.
 To work out the scale factor between similar
shapes.
 To work out missing length in similar shapes.
 To solve problems involving similar shapes
Prior
Knowledge
Text book
reference
Home
learning
To
multiply
and
divide
decimal
numbers
by
10,100,
1000 etc.
Ex 25C
Ex 25A
Ex 25A
Ex 25D
Ex 25D
Ex 25C –
Q6,7,8,9
Ex 25C – Q12
Ex 25D
Ex 25D – Q12
To
enlarge a
shape
Ex 23A
Ex 23C
Ex 23C
Ex 23A –
Q2,9
Ex 23C – Q3,
4
Ex 23C – Q6
c,d
Ex 23D – Q3,
6b, 8
Ex 25D
Ex 23D
Ex 25D – Q7
e,g,l,m,n,o
Ex 25D – Q6
I,j,k,l
O
C
T
O
B
E
R
Experimenta
l probability
and
expected
number
 To calculate experimental probabilities and
relative frequencies.
 To work out expected number if the probability of
the event is known.
 To construct two way tables and use them to
work out probabilities.
 To use Venn diagrams to solve probability
questions.
1) To work
out
probability
of events.
2) To know
that
probability
varies
between
0&1
Ex 13D
See questions
below.
Ex 13E
Ex 24B
Ex 24C
Page 569 Q
3, 5,6
Experimental probability and expected number – Home learning
1) A drawing pin is dropped 200 times in an experiment to see which way up it will land. Here are the results:
Outcome
Frequency
Find the probability of the drawing pin landing:
Point up
160
point up
b) point down
Point down
40
2) Four teams, City, Rovers, Town and United play a competition to win a cup. Only one team can win the cup.
The table below shows the probabilities of each team winning the cup.
a) What is the probability that United will win the cup?
b) What is the probability that Town will NOT win the cup?
3) The probability that a biased dice will land on a five is 0.3
Megan is going to roll the dice 400 times.
Work out an estimate for the number of times the dice will land on a five.
4) Jack sows 300 wildflower seeds. The probability of a seed flowering is 0.7
Work out an estimate for the number of these seeds that will flower.
5) A bag contains only red, green and blue counters.
The table shows the probability that a counter chosen at random from the bag will be red or will be green.
Mary takes a counter at random from the bag.
a) Work out the probability that Mary takes a blue counter.
The bag contains 50 counters.
(b) Work out how many green counters there are in the bag.
6) Janice asks 100 students if they like biology or chemistry or physics best.
38 of the students are girls.
21 of these girls like biology best.
18 boys like physics best.
7 out of the 23 students who like chemistry best are girls.
a) Work out the number of students who like biology best.
b) What is the probability of choosing a girl student for a Physics quiz?
W/b 17th October - Landmark assessment
MUST have Equipment list for Maths
lessons
1) Black pens
2) Pencil
3) Sharpener
4) Eraser
5) Ruler
6) Protractor
7) Compass
8) Casio fx 83 GT Plus calculator
W/b 21st October HALF TERM