NYSTCE CST Multisubject Early Childhood Birth-2nd Grade Part 2 Mathematics questions and answers

Eight common core math standards 1. Make sense of problems and persevere in solving them 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 4. model with mathematics 5. use appropriate tools strategically 6. attend to precision 7. look for and make use of structure 8. look for and express regularity in repeated reasoning visual discrimination distinguishing a number by sight one-to-one correspondence ability to understand each object gets a number/numerical value Subitizing ability to group a number of items without counting Automaticity the ability to process information with little or no effort Frayer Model - graphic organizer - 4 blocks: Definitions, facts, examples, non examples - word in the middle circle numeration basic counting Number sense ability to relate numbers to real world problem solving cognitively guided instruction (CGI) approach to teaching math that is based on the developmental stage of the student and the process of asking questions to help guide the students towards finding their own approaches for learning math Vocabulary Box a strategy where students write the new word, definition, draws a picture, and comes up with a real life example Teaching Math to ELL - Visuals - Think pair share - illustrating - vocabulary box Eight Point Program 1. Screen every student 2. At risk K-5 receive instruction on whole numbers; 4-8 receive instruction on rational numbers 3. At risk instruction should be explicit and systematic 4. at risk instruction should include real world problems 5. at risk instruction should include visuals 6. at risk instruction should include 10 minutes of arithmetic basics 7. Monitor all students 8. At risk instruction should be motivational Guided Math placing students with the same or similar understanding in a group together numeracy skills understanding numbers, how they relate, and how they work together in basic operations Real numbers Measurable Concrete Value Can be Manipulated Whole numbers positive numbers, including zero, without any decimal or fractional parts Integers whole numbers and their opposites without decimals or fractions Natural Numbers counting numbers rational numbers fractions that when written as a decimal have an end point or repeating value irrational numbers numbers that have decimal values that never terminate or repeat numerical expression An expression that contains only numbers and operations algabraic expression an expression that contains at least one variable functions have one input for every output simple interest I=prt P- principal amount r- interest rate in decimal t- time in years Maturity value or future value A=p(1+rt) coplanar lines lines that lie on the same plane slope of perpendicular lines opposite reciprocal ex: y=4/3x changes to y=-3/4x Transversal Line a line that intersects two parallel lines Rotate by 90 (x,y)-> (-y,x) rotate by 180 (x,y)->(-x,-y) rotate by 270 (x,y)-> (y,-x) rotate by -90 (x,y)-> (y,-x) rotate by -180 (x,y) -> (-x,-y) rotate by -270 (x,y) -> (-y,x) pounds to kilograms Kg = lbs / 2.2 kilograms to pounds Lbs = kg x 2.2 Farenheit to Celsius C= 5/9 (F-32) Celsius to Fahrenheit F= (c * 9/5) + 32 miles to kilometers km= mi/0.6214 kilometers to miles mi= km * 0.6214 IQR Q3-Q1 Variance 1. Find the mean of the data set 2. subtract the mean from each piece of data 3. square each difference 4. add the differences squared 5. divide by number of data standard deviation the square root of the variance weighted grades (grade 1 x weight 1) + (grade 2 x weight 2) + ...